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Laabri

Guided Lesson: Circles

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Last updated over 3 years ago
26 Nsɛmmisa
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Solve the following that have been marked. The rest is optional, you can do it for extra practice.

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Mmuae Afoforo a Wobɛpaw:
Volume
Perimeter
Area
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Mmuae Afoforo a Wobɛpaw:

mm^3

km^2

km

A circle is a perfectly symmetric object. Can you guess what kind of equation creates a circle?

(Remember the equation of a parabola was

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Try out different equations on DESMOS and see which one makes a circle. Attach a screenshot of your trials here.

The boundary of a circle is called the circumference of a circle and the length of the circumference is given by

Where

C - Circumference

r - Radius of the circle

You will always notice π when measuring things related to circles and it measures 3.14.

Use the formula given to the left and the calculator given above to find the following:

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Find the circumference of a circle whose radius is 9 cm.

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Find the circumference of a circle whose diameter is 5 inches.

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Find the radius of a circle whose circumference is 200 cm.

The flat space occupied by a circle is called the area of a circle and is given by

Where

A - Area

r - Radius of the circle

You will always notice π when measuring things related to circles and it measures 3.14.

Use the formula given to the left and the calculator given above to find the following:

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Find the area of a circle whose radius is 9 cm.

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Find the area of a circle whose diameter is 5 inches.

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Find the radius of a circle whose area is 360 m^2.

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Match each definition with a part of the circle.

Mmuae Afoforo a Wobɛpaw:

A diameter is a chord that passes through the center of a circle.

A secant is a line that intersects a circle at two points.

A tangent is a line that touches a circle at only one point.

A chord is a line segment with its endpoints on a circle.

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11.

Match the following definitions with the parts of the circle in the diagram.

Mmuae Afoforo a Wobɛpaw:
The smaller arc is the minor arc.
The major segment is the larger segment.
The minor segment is the smaller segment. (‘Segment’ usually refers to the minor segment.)
The larger arc is the major arc.
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