M3 Review - Circles

A circle has a circumference of 20 cm. What is the measure of the central angle that subtends a 7.5 cm arc in this circle? Round to the nearest thousandth of a radian.

• 1.584 radians

• 0.750 radians

• 2.667 radians

• 2.356 radians

Two concentric circles form a ring. The diameter of the smaller circle is 15 inches, and the diameter of the larger circle is 20 inches. To the nearest hundredth of a square inch, what is the area of the ring?

• 137.44 square inches

• 549.78 square inches

• 78.54 square inches

• 250.18 square inches

1. In circle C, points W, X, Y, and Z are on the circle and the measure of minor arc WZ is 30°. What is the degree measure of ∠XYW. (Type your numeric answer in the space provided)

1. In the circle shown, LM is a diameter. If the measure of ∠MLN is 22°, what is the measure (in degrees) of minor arc LN? Type your numeric answer in the space provided.

What is the degree measure of the arc (x) in the circle shown?

• 44°

• 61°

• 52.5°

• 63.5°

A square is inscribed in a circle. If the length of the square’s diagonal is 18 feet, what is the area of the shaded region? Round to the nearest tenth of a square foot.

• 305.1 ft²

• 108.3 ft²

• 92.5 ft²

• 157.4 ft²

What is the area of the circular cross section in the sphere shown if the diameter of the sphere is 16 feet and the distance from the center of the sphere to the center of the circle (x) is 5 feet. Leave your answer in terms of 𝜋.

• 39π ft²

• 156π ft²

• 25π ft²

• 84π ft²

A sphere has a radius of 6 inches. The center of a circular cross section of this sphere is 4 units from the center of the sphere. What is the area of the circular cross section? Round to the nearest tenth of a square inch.

• 54.1 in²

• 42.0 in²

• 51.7 in²

• 62.8 in²