Question

Find the area of a sector of a circle with radius 4 cm if angle of the sector is30 ​

Answer 1

Answer:

• Area of sector of circle is 4.19 cm²

Given:

• Radius of circle = 4 cm.
• Angle of the sector = 30°

To Find:

• Area of sector of a circle?

Solution:

❖ We are given here radius of circle 4cm and angle of the sector 30° and we need to find the area of the sector of the Circle that is θ/360° × πr². By putting values in thr formula we can calculate the required area of the sector.

➤ Area of sector = θ/360° × πr²

➤ Area of sector = 30/360 × 3.14 × (4)²

➤ Area of sector = 1/12 × 3.14 × 4 × 4

➤ Area of sector = 1/3 × 3.14 × 4

➤ Area of sector = 12.56/3

➤ Area of sector = 4.19 cm²

Hence,

• Area of sector of circle is 4.19 cm²