Question

The length of an arc RV of circle M with a radius of 6 units is 3pi/2 units. What is the approximate measure of angle RMV?

the options are
A- 15
B- 45
C-66
D-231

Answer 1

The formula for the length of an arc of a circle is given by:

length of arc = (central angle/360) x 2πr

where r is the radius of the circle and the central angle is measured in degrees.

In this problem, we know the length of arc RV is 3π/2 units and the radius of circle M is 6 units. Therefore, we can solve for the central angle using the formula above:

3π/2 = (central angle/360) x 2π(6)

3π/2 = (central angle/180) x π x 6

3/2 = (central angle/180) x 6

central angle = (3/2) x (180/6) = 45 degrees

So the approximate measure of angle RMV is 45 degrees, which corresponds to option B.