Calculate the circumference of a circle whose area is equal to the sum of the areas of the circles with diameters 24cm ,32cm, 96 cm
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Radius of first circle r1=12cm
" " second ". r2=16cm
r3=48cm
Area of circles=pi *r1^2 +pi*r2^2 +pi*r3^2
=22/7*12*12+22/7*16*16+22/7*48*48
=22/7*144+22/7*256+22/7*2304
=3168/7+5632/7+50688/7
=59488/7
area of circle=pi*r^2
59488/7=22/7*r^2
59488*7/7*22=r^2
2704=r^2
r=52cm
Circumference of circle=2*pi*r
=2*22/7*52=326.85cm
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" " second ". r2=16cm
r3=48cm
Area of circles=pi *r1^2 +pi*r2^2 +pi*r3^2
=22/7*12*12+22/7*16*16+22/7*48*48
=22/7*144+22/7*256+22/7*2304
=3168/7+5632/7+50688/7
=59488/7
area of circle=pi*r^2
59488/7=22/7*r^2
59488*7/7*22=r^2
2704=r^2
r=52cm
Circumference of circle=2*pi*r
=2*22/7*52=326.85cm
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Physicist182:
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ANSWER:
your answer is 326.85cm its right answer.
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