Math, asked by viveksharma843, 1 year ago

the diameters of the circle are 32 cm and 24 cm find the radius of the circle having its area equal to sum of the areas of the two given circle​

Answers

Answered by Anonymous
13

Answer:

▶first of all find the areas of two given circles

therefor,

the radius of circle 1

=(1/2)diameter 1

=( 1/2 )x 32

= 16

r1=16cm

Area of 1st circle = π( r1)²

= 3.14 x (16)²

= 3.14 x 256

= 803.84cm²

▶Now find the area of another circle ,

having radius = 24 cm

radius 2 = (1/2 )diameter 2

= (1/2) ( 24 )

= 12

r2 = 12cm

Area of another circle = π( r2)²

= 3.14 x (12)²

= 3.14 x 144

= 452.16cm²

▶we have to find the radius of circle, whose area is equal to sum of areas of above two circles

Area of that circle= 803.84 + 452.16

= 1,256cm²

Area of circle = πr²

1256 = πr²

1256 - 3.14 = r²

1,252.86 = r²

r = 35.39cm

therefor, radius of the circle having its area equal to sum of the areas of the two given circle is 35.39cm

Answered by sneha413639
1

Answer:

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