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