Question

what estimate is closest to the circumference of a circle with a radius of 5.6 cm?
a) 11.2 cm
b) 15 cm
c) 36 cm

Explanation:

Step1: Recall the formula for circumference

The formula for the circumference of a circle is \(C = 2\pi r\) (where \(r\) is the radius).

Step2: Substitute the value of radius

Given \(r = 5.6\) cm. Using \(\pi\approx3.14\), then \(C=2\times3.14\times5.6\).
First, \(2\times5.6 = 11.2\), so \(C = 11.2\times3.14\).

Step3: Calculate the product

\(11.2\times3.14=(10 + 1.2)\times3.14=10\times3.14+1.2\times3.14=31.4+3.768 = 35.168\approx36\) (rounding to the nearest whole number).

Answer:

C. 36 cm