An arc on a circle that is 15 cm long su

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

An arc on a circle that is 15 cm long subtends a 24° angle at the centre. What is the circumference of the circle?

Options:

240 cm

220 cm

236 cm

225 cm

Correct Answer:

225 cm

Explanation:

We know that ,

Length of arc = 2πr × \(\frac{θ}{360º}\)

According to question ,

15 = 2πr × \(\frac{24º }{360º}\)

2πr = 225 cm

So , Circumference of circle = 225 cm