**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