Ex 11.1, 14 (MCQ) - Chapter 11 Class 10 Areas related to Circles

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Ex 11.1, 14 (MCQ) - Area of a sector of angle p of circle with R - Ex 11.1

part 2 - Ex 11.1, 14 (MCQ) - Ex 11.1 - Serial order wise - Chapter 11 Class 10 Areas related to Circles

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Transcript

Ex 11.1, 14 Tick the correct answer in the following : Area of a sector of angle p (in degrees) of a circle with radius R is (A) ๐‘/180 ร— 2ฯ€R (B) ๐‘/180 ร— ฯ€R2 (C) ๐‘/360 ร— 2ฯ€R (D) ๐‘/720 ร— 2ฯ€R2 Area of a sector = ฮธ/360ร— ๐œ‹๐‘Ÿ2 Where ฮธ = angle , r = radius of circle Here, we have ๐›‰ = p and radius = R Putting these values in formula Area of sector = ๐œƒ/360ร—๐œ‹๐‘…2 = ๐’‘/๐Ÿ‘๐Ÿ”๐ŸŽร—๐…๐‘น๐Ÿ But , these is no such option which is matching with answers So, multiplying 2 in numerator and denominator Area of sector = ๐‘/360ร—ฯ€R2ร—2/2 = ๐’‘/๐Ÿ•๐Ÿ๐ŸŽร— ๐Ÿ๐›‘๐‘๐Ÿ So, the correct answer is (d)

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