Question
Perimeter of a square and circumference of a circle are
in the ratio 15:11, respectively. If area of the square is 225 cm2, then find the radius of the circle. (Take ฯ = 22/7)Solution
Let the perimeter of the square and circumference of the circle be โ15xโ cm and โ11xโ cm, respectively. Area of square = a2 (Where โaโ is the side of the square) ATQ; 225 = a2 Or, a = 15 cm So, perimeter of the square = 15 ร 4 = 60 cm So, circumference of circle = 60 ร (11x/15x) = 44 cm Circumference of circle = 2ฯr (Where โrโ is the radius) So, 44 = 2 ร (22/7) ร r Or, r = 7 cm Therefore, radius of the circle is 7 cm.
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