Question

read and try to solve the problem below. what is the approximate area of a circle with radius 2 units?

Explanation:

Step1: Recall the formula for the area of a circle

The formula for the area of a circle is \( A = \pi r^2 \), where \( r \) is the radius of the circle.

Step2: Substitute the given radius into the formula

We are given that the radius \( r = 2 \) units. Substituting this into the formula, we get \( A = \pi \times (2)^2 \).

Step3: Calculate the value

First, calculate \( (2)^2 = 4 \). Then, multiply by \( \pi \) (using \( \pi \approx 3.14 \) for an approximate value), so \( A \approx 3.14 \times 4 = 12.56 \) square units. If we use \( \pi = \frac{22}{7} \), we get \( A = \frac{22}{7} \times 4=\frac{88}{7}\approx 12.57 \) square units. The exact value in terms of \( \pi \) is \( 4\pi \) square units.

Answer:

The approximate area of the circle is \( 12.56 \) (or \( 4\pi \) or \( \frac{88}{7}\approx 12.57 \)) square units.