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
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
Answer:
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