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Unit 8 Practice A

Last updated almost 2 years ago

10 questions

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Question 1

1.

Find the approximate circumference of a circle with a radius of 10 inches.

Note: C = 3.14d

10 in

31.4 in

Question 2

2.

Find the exact area of a circle with a diameter of 15 meters.

Note: A = 𝜋r2

7.5𝜋 meters

15𝜋 meters

Question 3

3.

Give the most specific name for line AE in the picture below.

chord

point of tangency

Question 4

4.

Identify a radius in the picture below.

segment DB

line AE

Question 5

5.

Find the length of minor arc PQ in circle R with a diameter of 9 yards. Use a calculator to round your answer to the nearest tenth of a yard.

Note: Arc Length = (central angle/360) 𝜋d

Question 6

6.

Find the measure of arc JL and identify the arc as a major arc, minor arc, or semi-circle.

Question 7

7.

Determine whether segment AB is tangent to circle C. Give justification for your answer by showing your work.

Note: a2 + b2 = c2

Question 8

8.

Find the area of the sectors formed by the obtuse angle DFE.
Use a calculator to round to the nearest tenth.

Note: sector area = (central angle/360) 𝜋r2

Question 9

9.

Determine the length of AB. Show your work for full credit.

Note: Tangents are congruent.

Question 10

10.

Determine the measure of minor arc CB. Show your work for full credit.

Note: Arc AD is congruent to arc DB in the diagram. Once you solve for x, you still need to determine the measure of arc CB.

62.8 in

314.2 in

1578.4 in

30𝜋 meters

56.25𝜋 meters

62.5𝜋 meters

radius

tangent

secant

segment AC

segment AB

segment AG

2.6 yards

3.5 yards

5.9 yards

6.7 yards

25.8 yards