Question : The radius of a circle is 21 cm. What will be the length (in cm) of an arc of the circle that subtends a 22.5° angle at the centre? [Use $\pi=\frac{22}{7}$]
Option 1: 8.25
Option 2: 7.25
Option 3: 8.50
Option 4: 7.50

Question

Question : The radius of a circle is 21 cm. What will be the length (in cm) of an arc of the circle that subtends a 22.5° angle at the centre? [Use $\pi=\frac{22}{7}$]

Option 1: 8.25

Option 2: 7.25

Option 3: 8.50

Option 4: 7.50

Team Careers360 · Accepted Answer

Correct Answer: 8.25

Solution : We know that arc length = $\frac{2\pi r imes heta}{360}$
So, given $ heta = 22.5°$
Radius of circle = $21$ cm
$ herefore$ Length of the arc = $\frac{2 imes 22 imes 21 imes 22.5}{360 imes 7}$ = 8.25 cm
Hence, the correct answer is 8.25.

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Question : The radius of a circle is 21 cm. What will be the length (in cm) of an arc of the circle that subtends a 22.5° angle at the centre? [Use π=227]Option 1: 8.25Option 2: 7.25Option 3: 8.50Option 4: 7.50

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Question : The radius of a circle is 21 cm. What will be the length (in cm) of an arc of the circle that subtends a 22.5° angle at the centre? [Use $π = \frac{22}{7}$ ]
Option 1: 8.25
Option 2: 7.25
Option 3: 8.50
Option 4: 7.50