Calculate the area of a sector of a circle with radius 10 metres and angle of 90 degrees at the centre.
Answer & explanation
Correct answer: option 3
Radius = 10 m,
Angle = \({90}^\circ\)
Solution
Area of the sector = \(\Pi \) \(\frac{10 × 10}{360}\) x \({90}^\circ\)
⇒ \(\frac{22}{7}\) x \(\frac{100}{4}\) = 78.57 = 78.5 \( {m }^{2 } \)
Therefore, area of sector is 78.5 \( {m }^{2 } \)