Question

use 3.14 for π to estimate the area of a circle.the diameter is 24.4. Round your answer to the nearest hundredth if necessary

Answer 1

This question can be answered really easily because the equation for area of a circle is π times the radius squared (πr²). The radius is just half the diameter.

24.4 ÷ 2 = 12.2 = radius
12.2 × 12.2 = 148.84
3.14 × 148.84 = 467.3576
467.3576 = area of circle

Answer 2

Answer: The required area of the given circle is 467.36 sq. units.

Step-by-step explanation: We are given that the diameter of a circle is 24.4 units and the value of π is 3.14.

We are to find the area of the circle.

We know that

the AREA of a circle with length of the radius r units is given by

`A=\pi r^2.`

Since the diameter of the given circle is 24.4 units, so its radius will be

`r=(24.4)/(2)=12.2~\textup{units}.`

Therefore, the AREA of the circle will be

`A=\pi r^2=3.14*(12.2)^2=3.14* 148.84=467.3576~\textup{sq. units}.`

Rounding to nearest hundredth, we get

A = 467.36 sq. units.

Thus, the required area of the given circle is 467.36 sq. units.