The area of a circle is 3850 cm². The circle is inscribed in a square, and the side of the square is half of the side of an equilateral triangle. Find the sum of the perimeter of the square and that of the triangle.
Show answer & explanation
Correct answer: A
Explanation
Given:
Area of a circle = 3850 cm²
By the formula:
Area of a circle = πr²
πr² = 3850
(22/7)r² = 3850
r² = 3850 × 7 / 22
r² = 1225
r = 35
Side of a square = 2r = 70
Side of an equilateral triangle = 2 × 70 = 140
Perimeter of a square = 4 × 70 = 280
Perimeter of a triangle = 3 × 140 = 420
Total perimeter = 280 + 420 = 700 cm