(a) A circle is inscribed in a square. If the sum of the perimeter of the square and the circumference of the circle is 100 cm, calculate the radius of the circle. [Take ]. (b) A rope 60cm long is made to form a rectangle. If the length is 4 times its breadth, calculate, correct to one decimal place, the : (i) length ; (ii) diagonal of the rectangle.
Explanation
(a) Perimeter of a circle = . Length of a side of square = 2r in terms of r. Sum of perimeter of circle and square = (b) (i) L = B = breadth. 60 cm = 2(4B + B) 2(5B) = 60 cm . (ii) Let the diagonal be d. = .
