Ex 12.2, 14 - Area of a sector of angle p of circle with R - Area of sector of circle

  1. Chapter 12 Class 10 Areas related to Circles
  2. Serial order wise
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Ex 12.2, 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 ฮธ = p and radius = R Putting these values in formula Area of sector = ๐œƒ/360ร—๐œ‹๐‘…2 = ๐‘/360ร—๐œ‹๐‘…2 But , these is no such option which is matching with answers So, multiply 2 in numerator and denominator Area of sector = ๐‘/360ร—ฯ€R2ร—2/2 = ๐‘/720ร— 2ฯ€R2 Hence, option (D) is correct

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