The area of a circle is 2464 cm2. What i

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 2D

Question:

The area of a circle is 2464 cm². What is the diameter of this circle? [Use π = $\frac{22}{7}$]

Options:

56 cm

24 cm

48 cm

28 cm

Correct Answer:

56 cm

Explanation:

We know that,

Area of a circle = πr²

Given,

The area of a circle = 2464 cm²

= 2464 = πr²

= $\frac{22}{7}$ × r²= 2464

r²= 784

r =$\sqrt {784}$ = 28

So, diameter = 2r = 2 × 28 = 56