Sector Area Math Example 3

Follow the full solution, then compare it with the other examples linked below.

easy

A pizza slice (sector) has a radius of

12

inches and a central angle of

45°

. Find the area of the slice.

1
Step 1: Apply $A = \frac{\theta}{360°} \times \pi r^2 = \frac{45}{360} \times \pi(12)^2 = \frac{1}{8} \times 144\pi$ .
2
Step 2: Simplify: $A = 18\pi \approx 56.55$ in².

Answer

A = 18\pi \approx 56.55

in²

A 45° slice is one-eighth of the full pizza (since 360/45 = 8). One-eighth of the full circle area

144\pi

in² gives

18\pi

in² per slice.

About Sector Area

The area of a 'pie slice' region of a circle, bounded by two radii and the arc between them.

Find the area of a sector of a circle with radius [formula] cm and central angle [formula].

A sector has a central angle of [formula] radians and a radius of [formula] cm. Find its area.

A sprinkler rotates through an angle of [formula] and waters grass up to a radius of [formula] ft. W