#### Question

The radius of a circle is 10 cm. The area of a sector of the sector is 100 cm^{2}. Find the area of its corresponding major sector. ( \[\pi\] = 3.14 ).

#### Solution

Radius of the circle, r = 10 cm

Area of the sector = 100 cm^{2}

∴ 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 cm^{2}.

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Solution 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. ( π = 3.14 ). Concept: Areas of Sector and Segment of a Circle.