Find the length of the arc of a circle w

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

Find the length of the arc of a circle with radius 5 cm, if its central angle is 70°.

Options:

$\frac{70}{18}$π cm

$\frac{35}{18}$π cm

$\frac{15}{18}$π cm

$\frac{7}{18}$π cm

Correct Answer:

$\frac{35}{18}$π cm

Explanation:

Given circle with radius = 5 cm

Circumference = 2Πr = 10Π (For 360º)

Length of arc for 70º = 10Π * 70/360 = 70Π/36

The correct answer is Option (2) → $\frac{35}{18}$π cm