Circles M and K are congruent, segment QR is congruent to arc LN . Find the length of segment QR .

Question

asked Jan 26, 2021 225k views

2 Answers

Asanas · Answer 1 · 2021-01-30T09:23:47+0000

Answer:

26/3 or 8.67

Explanation:

Arc lengths are congruent and the radii are the same implies angle at the centre is also equal,

Hence length of the chords are equal too

4x+2 = x+7

3x = 5

x = 5/3 or 1.67

Length of QR = 4x+2

= 4(5/3) +2

= 20/3 + 2

= 26/3 = 8.67