{{asɛmtiNe Ɔkyerɛwfo}} | Nhomakorabea | Nneɛma a ɛma wotumi yɛ ade

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1

Lisa said that in the circle below 𝑚∠𝐷 = 77°.

Nokorɛ

Ɛnyɛ ampa

1

Harrison said that in the circle below the 𝑚∠𝐴 = 61°.

Nokorɛ

Ɛnyɛ ampa

1

Jenna stated that in the circle below 𝑚∠𝐶 + 𝑚∠𝐴 = 180°.

Nokorɛ

Ɛnyɛ ampa

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1

Find the area of the shaded portion of each circle.

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Area = units²

1

Find the length of the highlighted portion of the circle's circumference.

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circumference = units

1

Find the area of the shaded portion of each circle.

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area = squared units

1

Find the length of the highlighted portion of the circle's circumference.

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circumference = units

Circumference

Notes and Examples

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Round answers to the nearest tenth (try using π, not 3.14). Also, try leaving answers in terms of π.

Find the circumference of a circle with a radius of 20 cm.

Circumference = cm (rounded)

Circumference = π cm

(in terms π).

1

Round answers to the nearest tenth (try using π, not 3.14). Also, try leaving answers in terms of π.

Find the circumference of a circle with a radius of 18 inches.

Circumference = inches (rounded)

Circumference = π inches

(in terms π).

1

Round answers to the nearest tenth (try using π, not 3.14). Also, try leaving answers in terms of π.

Find the radius of a circle with a circumference of 124 feet.

radius = feet (rounded)

radius = feet

(in terms π).

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1

In circle G with the measure of angle FGH = 60^o and FG = 19 cm, find the length of arc FH. Round to the nearest hundredth.

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Arc Length = cm

1

What is the difference in the length of the arc between circle E and circle D?

Round to the nearest hundredth.

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Difference = units

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In circle E with the measure of angle DEF = 60^o and DE = 15 cm, find the area of the sector. Round to the nearest hundredth.

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Area of Sector = cm²

1

Suppose a circle is divided into congruent slices. Match each number of slices with the resulting central angle measure of each slice.

Draggable item		Corresponding Item
60^o		8 slices
72^o		6 slices
120^o		5 slices
180^o		3 slices
45^o		4 slices
90^o		2 slices

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1

A circle of radius 12 units is divided into 8 congruent slices.

a. What is the arc length of each slice? units

b. What is the area of each slice? units²

1

Diego says, “To find arc length, divide the measure of the central angle by 360. Then multiply that by the area of the circle.“ Do you agree with Diego? Show or explain your reasoning.

1

The image shows a triangle. Sketch the inscribed and circumscribed circles for this triangle.

1

Triangle ABC is shown with its inscribed circle drawn. The measure of angle ECF is 72 degrees. What is the measure of angle EGF? Explain or show your reasoning.

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angle EGF = ^o

1

How do the values of x and y compare? Explain your reasoning.

1

In the diagram, the measure of the arc from A to B not passing through C is 80^o. What is the measure of angle ACB?

20^o

40^o

80^o

160^o

1

A sector of a circle is the region enclosed by 2 radii. For the circle, find the area of the shaded sector and the length of the arc that outlines the sector. All units are centimeters. Give your answers in terms of π.

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Area of Sector = cm²

Arc Length = cm

Give your answers in terms of π.

1

A sector of a circle is the region enclosed by 2 radii. For the circle, find the area of the shaded sector and the length of the arc that outlines the sector. All units are centimeters. Give your answers in terms of π.

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Area of Sector = cm²

Arc Length = cm

Give your answers in terms of π.

1

A sector of a circle is the region enclosed by 2 radii. For the circle, find the area of the shaded sector and the length of the arc that outlines the sector. All units are centimeters. Give your answers in terms of π.

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Area of Sector = cm²

Arc Length = cm

Give your answers in terms of π.

HG U6D5 Arc Lengths and Sectors Nov4

HG U6D5 Arc Lengths and Sectors Nov4

Lisa said that in the circle below 𝑚∠𝐷 = 77°.

Harrison said that in the circle below the 𝑚∠𝐴 = 61°.

Jenna stated that in the circle below 𝑚∠𝐶 + 𝑚∠𝐴 = 180°.

Suppose a circle is divided into congruent slices. Match each number of slices with the resulting central angle measure of each slice.

Diego says, “To find arc length, divide the measure of the central angle by 360. Then multiply that by the area of the circle.“ Do you agree with Diego? Show or explain your reasoning.

The image shows a triangle. Sketch the inscribed and circumscribed circles for this triangle.

How do the values of x and y compare? Explain your reasoning.

In the diagram, the measure of the arc from A to B not passing through C is 80^o. What is the measure of angle ACB?

Lisa said that in the circle below 𝑚∠𝐷 = 77°.

Harrison said that in the circle below the 𝑚∠𝐴 = 61°.

Jenna stated that in the circle below 𝑚∠𝐶 + 𝑚∠𝐴 = 180°.

Suppose a circle is divided into congruent slices. Match each number of slices with the resulting central angle measure of each slice.

Diego says, “To find arc length, divide the measure of the central angle by 360. Then multiply that by the area of the circle.“ Do you agree with Diego? Show or explain your reasoning.

The image shows a triangle. Sketch the inscribed and circumscribed circles for this triangle.

How do the values of x and y compare? Explain your reasoning.

In the diagram, the measure of the arc from A to B not passing through C is 80^o. What is the measure of angle ACB?

HG U6D5 Arc Lengths and Sectors Nov4

HG U6D5 Arc Lengths and Sectors Nov4

Lisa said that in the circle below 𝑚∠𝐷 = 77°.

Harrison said that in the circle below the 𝑚∠𝐴 = 61°.

Jenna stated that in the circle below 𝑚∠𝐶 + 𝑚∠𝐴 = 180°.

Suppose a circle is divided into congruent slices. Match each number of slices with the resulting central angle measure of each slice.

Diego says, “To find arc length, divide the measure of the central angle by 360. Then multiply that by the area of the circle.“ Do you agree with Diego? Show or explain your reasoning.

The image shows a triangle. Sketch the inscribed and circumscribed circles for this triangle.

How do the values of x and y compare? Explain your reasoning.

In the diagram, the measure of the arc from A to B not passing through C is 80o. What is the measure of angle ACB?

Lisa said that in the circle below 𝑚∠𝐷 = 77°.

Harrison said that in the circle below the 𝑚∠𝐴 = 61°.

Jenna stated that in the circle below 𝑚∠𝐶 + 𝑚∠𝐴 = 180°.

Suppose a circle is divided into congruent slices. Match each number of slices with the resulting central angle measure of each slice.

Diego says, “To find arc length, divide the measure of the central angle by 360. Then multiply that by the area of the circle.“ Do you agree with Diego? Show or explain your reasoning.

The image shows a triangle. Sketch the inscribed and circumscribed circles for this triangle.

How do the values of x and y compare? Explain your reasoning.

In the diagram, the measure of the arc from A to B not passing through C is 80o. What is the measure of angle ACB?

In the diagram, the measure of the arc from A to B not passing through C is 80^o. What is the measure of angle ACB?

In the diagram, the measure of the arc from A to B not passing through C is 80^o. What is the measure of angle ACB?