Q.The perimeter of the sector of the circle of area $64\pi$ sq.cm is 56 cm. Find the area of the sector.

Step 1: $\pi r^2=64\pi \Rightarrow r=8$ cm.

Step 2: Perimeter of sector $=2r+s=56 \Rightarrow s=56-16=40$ cm. …

Find r from the circle's area, then s from the sector's perimeter (perimet …

• Taking the square root incorrectly when solving r² = 64.
• Forgetting the perimeter includes TWO radii, not one, when solving for s. …