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

Circles M and K are congruent, segment QR is congruent to arc LN . Find the length-example-1
User Gordyr
by
4.2k points

2 Answers

5 votes

Answer:

8.67

Explanation:

User Velayutham M
by
4.9k points
7 votes

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

User Asanas
by
4.5k points