Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 2D

Question:

Distance of a chord OP from the centre of a circle is 6 cm. If diameter of this circle is 20 cm, then what will be the sum of radius and length of chord OP?

Options:

20 cm

18 cm

26 cm

16 cm

Correct Answer:

26 cm

Explanation:

We have,

Diameter = 20

Radius = OA =  10

We know that,

AO2 = AP2 + OP2

102 = AP2 + 62 

AP2 = 100 - 36

AP2 = 64

AP = 8

AB = 2 × AP

AB = 16

AB + AO = 16 + 10 = 26 cm