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Ex 12.1, 2 - The radii are 8 cm, 6 cm. Find radius of circle - Area/Perimeter of Circle

  1. Chapter 12 Class 10 Areas related to Circles
  2. Serial order wise
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Transcript

Ex 12.1, 2 The radii of two circles are 8 cm and 6 cm respectively. Find the radius of the circle having area equal to the sum of the areas of the two circles. Given that, Radius of 1st circle = r1 = 8 cm Radius of 2nd circle = r2 = 6 cm Let the radius of required circle = r cm According to question, Area of required circle = Sum of the area of both the circles Now, Area of required circle = Sum of the area of both the circles Area of required circle = Area of 1st circle + Area of 2nd circle Area of required circle = 64 ๐œ‹ + 36 ๐œ‹ ๐œ‹r2 = 100 ๐œ‹ r2 = 100 r = โˆš100 r = โˆš(ใ€–10ใ€—^2 ) r = 10 cm Hence , radius of required circle = 10 cm

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