Tick the correct answer in the following and justify your choice : if the perimeter and the area of a circle are numerically equal, then the radius of a circle is (A)2units(B)3units(C)4units (D)7units
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Answered by
7
let radius of the circle =r
if perimeter = area
2πr=πr²
2r =r²----(1)
if r=2
2*2 =2²
4=4
if perimeter = area
2πr=πr²
2r =r²----(1)
if r=2
2*2 =2²
4=4
Answered by
4
Hey there!
Answer:
Step-by-step explanation:
Perimeter of circle = 2πr
Area of circle = πr²
According to the Question,
Perimeter of circle = Area of circle
2πr = πr²
or, 2πr / πr = r
or, 2 = r
or, r = 2
Hence the radius is 2.
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