Find the arc length and area of a sector with the given radius r and central angle O-

area-of-a-sector

#1

Find the arc length and area of a sector with the given radius r and central angle O-.

Answer:

Arc Length , L = R x O
Radius, R = 15 cm
Angle, O = 45 Deg = π/4 Radians
Therefore,
Arc Length, L = 15 x π/4 cm
= 11.78 cm
Area of a full circe = π x R^2
Angle of a full circle = 2π
Hence,
Area of a sector with angle O angle Radius = (O/2π) x πR^2
= ((π/4)/2π)) X πR^2
=(1/8) πR^2
= 88.35 cm^2