Length of chord MN is 40 cm. Distance of

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 2D

Question:

Length of chord MN is 40 cm. Distance of chord MN from the centre is 15 cm. What will be the radius of this circle?

Options:

42 cm

32 cm

30 cm

25 cm

Correct Answer:

25 cm

Explanation:

We have ,

OP = 15cm

MN = 40cm

MP = \(\frac{40}{2}\) = 20 cm

Now,

H² = B² + P²

(MO)²= 20² + 15²

= (MO)²= 400 + 225

= (MO)²= 625

MO = Radius = 25 cm