If the circumference of a circle is incr

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 2D

Question:

If the circumference of a circle is increased by 20%, then the area of the circle will be increased by :

Options:

40%

44%

48%

46%

Correct Answer:

44%

Explanation:

Circumference C1 = 2Πr1

C2 = 2Πr2 = 20% more than C1 = 1.2C1

2Πr2 = 1.2*2Πr1

r2 = 1.2r1

Area A1 = Πr1²

Area A2 = Πr2²= Π*1.2r1*1.2r1 = 1.44*Πr1²= 44% more than A1

The correct answer is option (2) : 44%