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 the circle is: (A) 2 units (B) π units (C) 4 units (D) 7 units

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Let the radius of the circle be r. Circumference of circle = 2πr Area of circle = πr2 Given that, the circumference of the circle and the area of the circle are equal. This implies 2πr = πr2 2 = r Therefore, the radius of the circle is 2 units. Hence, the correct answer is A.
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Let the radius of the circle ber. Circumference of circle = 2πr Area of circle = πr2 Given that, the circumference of the circle and the area of the circle are equal. This implies 2πr= πr2 2 =r Therefore, the radius of the circle is 2 units. Hence, the correct answer is A. read less
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Mathematics Made Simple and Interesting

Option (A) : 2 units. Solution : perimeter = area (of the circle); So, 2.(pi).r = (pi).r^2, where, r = radius of the circle So, r = 2 (Ans) , .
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2πR = πR2 Hence R = 2
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Mathematics Made Simple and Interesting

Option (A)
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