Question

HELP PLEASE!!!!!

Find the radius of a circle if a central angle of 3π/2 intercepts an arc of 26.4 centimeters.

0.19 cm
3.14 cm
5.6 cm

Find the measure of a central angle that intercepts an arc of 81.5 cm in a circle whose radius is 16.3 cm.

5 rad16 rad 65 rad

Find the arc length intercepted by a central angle of 3 π/4  radians in a circle whose radius is 18.4 inches.

13.8π 15.2π 24.5π

Answer 1

Find the radius of a circle if a central angle of 3π/2 intercepts an arc of 26.4 centimeters.

Ans: 5.6 cm

Find the measure of a central angle that intercepts an arc of 81.5 cm in a circle whose radius is 16.3 cm.

Ans: 5 rad

Find the arc length intercepted by a central angle of 3π/4 radians in a circle whose radius is 18.4 inches.

Ans: 13.8π

Answer 2

1: length of arc=(2πr/360)*3π/2
26.4=r*0.081
therefore,. r=26.4/0.081=325.9cm
this is the answer if the given angle was in degree.
if the angle is in radian then,
26.4=r*3π/2
r=5.6 cm
all the best