OC and OR are similar. Find the length of QP.

A. 3/11pi
B. 11/7pi
C. 11/3pi
D. 44/3pi

Given:

Circle C and circle R are similar.

The length of arc AB is

The radius of circle C (AC) = 4 unit

The radius of circle R (QR) =6 unit

To find the length of arc QP.

Formula

The relation between s,  r and is

where,

s be the length of the arc

r be the radius

be the angle.

Now,

For circle C

Taking r = 4

According to the problem,

or, [ eliminating from both side]

or,

or,

Again,

For circle R

Taking, r = 6 and we get,

The length of arc QP is

or,

Hence,

The length of QP is . Option C.

answer would be 8.64 or s = 11π/4 inches

step-by-step explanation:

s = r θ  

where s = arc length  

r = radius = 3 inches  

θ = central angle in radians = ( π /180)*165  

s = 3(π/180)*165  

= 8.64 inches

6 equilateral triangles