The area of a circle is 38.5cm2. Find its diameter [take \(\pi = \frac{22}{7}\)]

Assessment: WAEC SSCE - General Mathematics - 2000 (Objective) Subject: General Mathematics

Question 1 Report

The area of a circle is 38.5cm2. Find its diameter [take \(\pi = \frac{22}{7}\)]
Answer Details
The formula for the area of a circle is given by A = πr2, where A is the area and r is the radius of the circle. To find the diameter, we need to first find the radius. Given A = 38.5 cm2 and π = 22/7, we can write: A = πr2 38.5 = (22/7) * r2 Multiplying both sides by 7/22, we get: r2 = (38.5 * 7) / 22 r2 = 12.25 Taking the square root of both sides, we get: r = 3.5 The diameter is twice the radius, so: diameter = 2 * radius = 2 * 3.5 = 7 cm Therefore, the answer is option (C) 7cm.
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