Question

66.

A circle has a diameter of 26 units. What is the
area of the circle to the nearest hundredth of a
square unit?

Answer 1

Answer: 530.66 units²

Explanation:

`Area_((circle))=\pi r^2\qquad and\qquad r=(diameter)/(2)\\\\\\\implies Area_((circle))=\pi \bigg((diameter)/(2)\bigg)^2\\\\\\\text{It is given that the diameter = 26:}\\A=\pi\bigg((26)/(2)\bigg)^2\\\\\\.\quad =\pi \cdot 13^2\\\\\\.\quad =169\pi\\\\\\.\quad =\large\boxed{530.66}`