Question

find the length of the arc of a circle with radius 21cm and of an angle 60°,also find the area of the corresponding major sector (use π=3.14)​

Answer 1

Answer:

21.98 cm, 1153.95 cm²

Step-by-step explanation:

Radius = 21 cm

Angle of the arc = 60°

Find the length of the arc:

Length of the arc = θ/360 x 2πr

Length of the arc = 60/360 x 2(3.14)(21)

Length of the arc = 21.98 cm

Find the angle of the major sector:

Angle of the major sector = 360 - 60 = 300°

Find the area of the major sector:

Area of the sector = θ/360 x πr²

Area of the sector = 300/360 x (3.14)(21)²

Area of the sector = 1153.95 cm²

Answer: Length of arc = 21.98 cm, Area of the major sector = 1153.95 cm²