Circumference and Arc Length Answers

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

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

Minor arc KL measures 135°.

Circle O has a circumference of approximately 250π ft.

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

Major arc CBD measures 300°.

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

Circle O has a circumference of approximately 44 in.

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?

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?

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

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?