Question

The Perimeter of a sector of a Circle whose radius is 5.2 cm is 16.4 cm. Find the area of the sector.​

Answer 1

✬ Area = 15.6 cm² ✬

Step-by-step explanation:

Given:

• Perimeter of sector of circle is 16.4 cm.
• Radius of circle is 5.2 cm.

To Find:

• What is the area of sector of circle ?

Solution: Here we have

• r = 5.2 cm
• P = 16.4 cm

As we know that

★ Perimeter = Length of arc + 2(radius)★

➟ 16.4 = l + 2 × 5.2

➟ 16.4 = l + 10.4

➟ 16.4 – 10.4 = l

➟ 6 = l

Now for area of sector

★ Area = 1/2lr ★

➟ Area = 1/2 × 6 × 5.2

➟ 3 × 5.2

➟ 15.6 cm²

Hence, area of sector is 15.6 cm².