The radius of a circle whose area is num

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 3D

Question:

The radius of a circle whose area is numerically 110 more than its circumference is

Options:

5 units

7 units

14 units

10 units

Correct Answer:

7 units

Explanation:

Area of a circle = $πr^2$

Circumference of circle = $2πr$

Now, according to question:

$πr^2-2πr=110$

$πr(r-2)=110$

$\frac{22}{7}r(r-2)=110$

$r(r-2)=7×5$

Now, check from the given options, we can easily find the value of r.

i.e. $r=7$