Area of a Circle and a Sector

Question 1

An arc on a circle measures 85°. The measure of the central angle, in radians, is within which range?

Revolt · Accepted Answer

0 to radians

Question 2

Circle O has a circumference of approximately 44 in.

Revolt · Accepted Answer

14 in.

Question 3

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

Revolt · Accepted Answer

radians

Question 4

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 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

Circle Q has a circumference of approximately 50 centimeters.

Revolt · Accepted Answer

15.9 centimeters

Question 7

Major arc CBD measures 300°.

Revolt · Accepted Answer

radians

Question 8

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

Revolt · Accepted Answer

radians

Question 9

An arc on a circle measures 295°. The measure of the central angle, in radians, is within which range?

Revolt · Accepted Answer

to 2π radians

Question 10

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

Area of a Circle and a Sector Answers

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