Question

as shown below, a rectangle is inscribed in a circle. find the circumference of the circle. 10π 12π 25π 36π

Explanation:

Step1: Find the diameter of the circle

When a rectangle is inscribed in a circle, the diagonal of the rectangle is the diameter of the circle.
By the Pythagorean theorem \(d=\sqrt{6^{2}+8^{2}}\)

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Step2: Calculate the circumference of the circle

The formula for the circumference of a circle is \(C=\pi d\).
Since \(d = 10\), then \(C=10\pi\)

Answer:

\(10\pi\)