Find the measure of the central angle of the arc whose length is 22 cm and the radius of the circle is 28 cm . - Quantitative Aptitude MCQ SSC CGL 2026 | ExamTest.live

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1 mark

Find the measure of the central angle of the arc whose length is 22 cm and the radius of the circle is 28 cm .

Solution & Step-by-step Explanation

The formula for the length of an arc is: Arc length = \frac{θ}{36 0 ^{\circ}} \times 2 π r Given: Arc length = 22 cm Radius (r) = 28 cm Substituting the values: 22 = \frac{θ}{36 0 ^{\circ}} \times 2 \times \frac{22}{7} \times 28 22 = \frac{θ}{36 0 ^{\circ}} \times 2 \times 22 \times 4 1 = \frac{θ}{36 0 ^{\circ}} \times 8 θ = \frac{36 0 ^{\circ}}{8} = 4 5^{\circ}

Try it yourself before checking the explanation above.

Find the measure of the central angle of the arc whose length is 22 cm and the radius of the circle is 28 cm .

6 0^{\circ}

4 5^{\circ}

7 5^{\circ}

9 0^{\circ}

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