Unless stated otherwise, use the approximation for . 1. The perimeter of a circle is 44 cm. What is its radius?

Question

Homi · Accepted Answer

We need to find the radius of a circle given its perimeter.

Step 1 — Write down the formula

Let's start with the given information. The perimeter of the circle is 44 cm. The perimeter of a circle is also called its circumference. The formula for the circumference $C$ of a circle is $C = 2\pi r$ . Here, $r$ is the radius of the circle. We are using $\pi = \frac{22}{7}$ .

$44 = 2 \times \frac{22}{7} \times r$

Step 2 — Calculate the radius

Now, let's simplify the equation. We can multiply the numbers on the right side.

$44 = \frac{44}{7} \times r$

To find $r$ , we need to isolate it. We can multiply both sides by $\frac{7}{44}$ .

$r = 44 \times \frac{7}{44}$

$r = 7$

The radius of the circle is 7 cm.

$\boxed{r = 7 \text{ cm}}$

Diagram 1

Answer

(i) The radius of the circle is 7 cm.

Question 1

Answer

More questions in Exercise 6.1