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Mathematics · 2023 · 3 marks
CBSE 2023 · Region 6 · Set 1 · Q31
In a circle of radius 21 cm, an arc subtends an angle of 60^° at the centre. Find the area of the sector formed by the arc. Also, find the length of…
In a circle of radius $\displaystyle 21$ cm , an arc subtends an angle of $\displaystyle 60^{\circ}$ at the centre. Find the area of the sector formed by the arc. Also, find the length of the arc.
Marking-scheme solution
\[\begin{aligned}
& A=\frac{60}{360} \times \frac{22}{7} \times 21 \times 21=231 \mathrm{~cm}^{2} \\
& \begin{aligned}
\text { Length of arc } & =\frac{60}{360} \times 2 \times \frac{22}{7} \times 21 \\
& =22 \mathrm{~cm}
\end{aligned}
\end{aligned}
\]
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CBSE Class 10 Mathematics past-paper question from the 2023 board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.