Circumference and Arc Length Assignment 100%

Consider circle C with radius 5 cm and a central angle measure of 60°. Circle C is shown. Line segments R C and S C are radii with length of 5 centimeters. Angle R C S is 60 degrees. What fraction of the whole circle is arc RS? What is the approximate circumference of the circle? cm What is the approximate length of arc RS? cm

1/6 31.4 5.2

Consider circle C below, where the central angle is measured in radians. What is the length of the radius? units

12 units

Circle O has a circumference of 88π cm. What is the length of the radius of the circle? cm

44cm

In circle C, SQ = 10 cm. Which statements about the circle are correct? Check all that apply.

Arc PQ is congruent to arc SR. The measure of arc QR is 150°. Arc PS measures about 13.1 cm. Arc QS measures about 15.7 cm.

The face of a clock is divided into 12 equal parts. The radius of the clock face is 6 inches. Assume the hands of the clock will form a central angle. Which statements about the clock are accurate? Check all that apply.

a, c, and e

Consider a regular hexagon inscribed in circle C with radius r. Regular hexagons have six congruent sides and six congruent angles. In the figure, angle CAB measures 60°.What is m∠ACB?°What is the length of segment AB?What is the perimeter of the hexagon?The perimeter of the hexagon isthe circumference of the circle.The circumference of the circle is

60 r 6r slightly less than slightly greater than 6r

Consider circle O below. The length of arc BA is 8.4 cm and the length of the radius is 8 cm. The measure of angle AOC is 45°.Rounded to the nearest whole degree, what is the measure of angle BOA?°Rounded to the nearest tenth of a centimeter, what is the length of arc BAC?cm

60, 14.7

Consider circle O, in which arc XY measures 16π cm. The length of a radius of the circle is 32 cm. What is the circumference of the circle? 325064π units What is the ratio of the arc length to the circumference? 1/41/31/2 What is the measure of central angle XOY?

64 1/4 90 degrees

In circle O, central angle AOB measures StartFraction pi Over 3 EndFraction radians. Circle O is shown. Line segments A O and B O are radii with length 18 centimeters. What is the length of arc AB?

6π cm

An arc on a circle measures 250°. Within which range is the radian measure of the central angle?

C