Question

radius of a circle is 10cm .Measure of an arc of the circles 54 degree celsius . Find the area of the sector associated with the arc.

Answer 1

Answer: 47.142...

Step-by-step explanation:

area of sector = pi x radius^2 x angle/360

=22/7 x 10 x 10 x 54//360

=2200/7 x 54/360

=47.142...

Answer 2

Answer:

Radius of the circle, r = 10 cm

Measure of the arc, θ = 54º

∴ Area of the sector = θ/360°×πr²

=54°/360°×3.14×(10)²

= 47.1 cm²

Thus, the area of the sector is 47.1 cm².