Circumference and Arc Length (Sec 10-1)

Question 1

In each circle below, a 50° angle with a vertex at the center of the circle is drawn. How are minor arc lengths CD and EF related?

Revolt · Accepted Answer

The arc lengths are proportional: .

Question 2

An arc on a circle measures 125°. The measure of the central angle, in radians, is within which range?

Revolt · Accepted Answer

to π radians

Question 3

In the diagram below, Θ is measured in radians. Which equation represents the relationship between the radius, r, and arc length, s?

Revolt · Accepted Answer

s = Θ · r

Question 4

Consider circle T with radius 24 in. and θ = radians.

Revolt · Accepted Answer

20π in.

Question 5

Arc AB is of the circumference of a circle. What is the radian measure of the central angle?

Revolt · Accepted Answer

StartFraction pi Over 3 EndFraction

Question 6

In circle M, diameters JL and HK each measure 16 centimeters.

Revolt · Accepted Answer

3.5 cm

Question 7

Two circles are shown in the diagram.Since all circles are similar, a proportion can be set up using the circumference and diameter of each circle. Substitute the values d1 = 1, C1 = π, and d2 = 2r into the proportion.Which shows how to correctly solve for C2, the circumference of any circle with radius r?

Revolt · Accepted Answer

Because

Question 8

Circle O has a circumference of approximately 250π ft.

Revolt · Accepted Answer

250 ft

Question 9

Circle P has a circumference of approximately 75 inches.

Revolt · Accepted Answer

12 inches

Question 10

Circle O has a circumference of approximately 44 in.

Revolt · Accepted Answer

14 in.

Circumference and Arc Length (Sec 10-1) Answers

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