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 cmfind 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 rad65 radfind the arc length intercepted by a central angle of 3π/4  radians in a circle whose radius is 18.4 inches.13.8π15.2π24.5π

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

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have