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Find the area of the shaded portion in a circle whose radius is 7 cm. - Mathematics

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प्रश्न

Find the area of the shaded portion in a circle whose radius is 7 cm.

बेरीज

उत्तर

Given that ABCD is a square

According to the question,

Area of square ABCD = 4 × Area of a right-angled triangle

∴ Area of square ABCD = 4 × Area of ΔAOB

= `4 xx (1/2 xx AO xx BO)`  ......`[∵ "Area of a right angled triangle" = 1/2 xx "Base" xx "Height"]`

= 2 × 7 × 7

= 98 cm2 

Hence, the area of inscribed square is 98 cm2.

Area of shaded nortion = Area of circle – Area of square

= πr2 – 98

= `22/7 xx 7 xx 7 - 98`

= 154 – 98

= 56 cm2

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पाठ 9: Perimeter and Area - Exercise [पृष्ठ २८५]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 7
पाठ 9 Perimeter and Area
Exercise | Q 93. | पृष्ठ २८५
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