Circumference and Arc Length Answers

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

Circle O has a circumference of approximately 44 in.

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

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

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

Circle Q has a circumference of approximately 50 centimeters.

Major arc CBD measures 300°.

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

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

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?

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

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

Circle O has a circumference of approximately 250π ft.

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?

In circle O, the length of radius OL is 6 cm and the length of arc LM is 6.3 cm. The measure of angle MON is 75°.

Circle P has a circumference of approximately 75 inches.

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