Question

What is the area of the sector, if the diameter is 12 cm and the angle is 60°?

Answer 1

Step-by-step explanation:

Given:

• Measure of diameter is 12 cm.
• Measure of angle is 60°

To Find:

• What is area of sector?

Solution: Here we have to find the radius

• Radius = Diameter/2 = 12/2 = 6 cm.

We know that:-

★ Area of sector of circle ★

$\frac{θ}{360} \times \pi {r}^{2}$

• Putting the value in formula •

$\frac{60}{360} \times \frac{22}{7} \times {6}^{2} \\ \\ = > \frac{1}{6} \times \frac{22}{7} \times 36 \\ \\ = > \frac{22 \times 6}{7} \\ \\ = > \frac{132}{7} {cm}^{2}$

Hence, The area of sector is 18.86 cm²

Answer 2

$\huge\underline\mathrm{Answer:-}$

Area of sector of the circle = 18.86 cm²

$\huge\underline\mathrm{GivEn:-}$

↪ Diameter of Circle = 12 cm

↪ The angle measures is 60°

$\huge\underline\mathrm{To\: Find:-}$

Find the Area of the Sector of circle = ?

$\huge\underline\mathrm{SoLution:-}$

We know that the area of sector(A) of a circle of radius r and central angle $\theta$(in degrees) is given by

A = $\large{\sf {\frac{Theta}{360°}}}$$\times$ πr²

Here, we need to find the radius of the circle

Radius = $\large{\sf {\frac{Diameter}{2}}}$

$\implies$$\large{\sf {\frac{12}{2}}}$ = 6 cm

According to question :-

Put the given values in formula

$\implies$ A = $\large{\sf {\frac{60}{360}}}$$\times$$\large{\sf {\frac{22}{7}}}$$\times$6$\times$6

$\implies$ A = $\large{\sf {\frac{1}{6}}}$$\times$ $\large{\sf {\frac{22}{7}}}$ 6$\times$6

$\implies$ A = $\large{\sf {\frac{22}{7}}}$$\times$6

$\implies$ A = $\large{\sf {\frac{132}{7}}}$ cm² = 18.855 cm²

If we round off the value, then final answer obtained is 18.86 cm²

Hence, the area of sector of the circle is 18.86 cm²

$\huge\underline\mathrm{ThAnKs...}$