Answer:
18π cm² ≈ 56.5 cm²
Step-by-step explanation:
The area of the sector can be found using an appropriate area formula.
<h3>Sector area</h3>
When the sector central angle is given in radians, the formula for the area of that sector is ...
A = 1/2r²θ . . . . . . where θ is the central angle, and r is the radius
When the angle is in degrees, the formula will include a factor to convert it to radians:
A = 1/2r²θ(π/180) . . . . where angle θ is in degrees
A = (πθ/360)r² . . . . simplified slightly
The figure shows r=9 cm, and θ=80°. Using these values in the formula gives an area of ...
A = π(80/360)(9 cm)² = 18π cm² ≈ 56.5 cm²
