Question

Radius of a circle is 10 cm. Measure of an arc of the circle is 54°. Find the area of the sector associated with the arc. (π = 3.14)

Given: The radius of a circle (r) = `square`

Measure of an arc of the circle (θ) = `square`

Area of the sector = `θ/360^circ xx square`

= `square/360^circ xx square xx square xx square`

= `square xx square xx square`

= 47.10 cm²

Answer 1

Given: The radius of a circle (r) = 10 cm

Measure of an arc of the circle (θ) = 54°

Area of the sector = `θ/360^circ` × πr²

= `bb54/360^circ` × 3.14 × 10 × 10

= 3 × 1.57 × 10

= 47.10 cm²