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Question
The radius of a circle is 10 cm. The area of a sector of the sector is 100 cm2. Find the area of its corresponding major sector. ( \[\pi\] = 3.14 ).
Solution
Radius of the circle, r = 10 cm
Area of the sector = 100 cm2
∴ Area of the corresponding major sector = Area of the circle − Area of the sector
\[= \pi r^2 - 100\]
\[ = 3 . 14 \times \left( 10 \right)^2 - 100\]
\[ = 314 - 100\]
\[ = 214 {cm}^2\]
Thus, the area of the corresponding major sector is 214 cm2.
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