Question

Find the perimeter and area of the sector of a circle of radius 9 cm with central angle 35 degrees. ​

Answer 1

Answer:

Perimeter = 23.8 cm, Area = 24.73 cm²

Step-by-step explanation:

Find the circumference of the whole circle

/* Formula */

Circumference of a circle = 2πr

/* Given that the radius is 9 cm */

/* Taking π as 3.14 */

Circumference of the circle = 2(3.14)(9) = 59.66 cm

Find the perimeter of the sector:

Arc = 35/360 x 159.66 = 5.8 cm

Perimeter = 5.8 + 9 + 9 = 23.8 cm

Find the area of the whole circle

/* Formula */

Area of a circle = πr²

/* Given that the radius is 9 cm */

/* Taking π as 3.14 */

Area of the circle = (3.14)(9)² = 254.34 cm²

Find the area of the sector:

Area = 35/360 x 254.34 = 24.73 cm²

Answer: Perimeter = 23.8 cm, Area = 24.73 cm²