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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 ). - Mathematics

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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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 Balbharati Solution for Balbharati Class 10 Mathematics 2 Geometry (2018 to Current)
Chapter 7: Mensuration
Practice set 7.3 | Q: 4 | Page no. 154
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.
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