31.0k views
3 votes
Three circles are placed in a rectangle with width 14cm. Find the area of the shaded region. Use the value 3.14 for pi, and do not round your answer. Be sure to include the correct unit in your answer.

User Deigote
by
8.1k points

1 Answer

3 votes
The dimension of the rectangle should be 3x14 cm and 14 cm. Thus, its area is 3x14 cm x 14 cm which is equal to 588 cm². The area of the 3 circles is,
3A = 3πr² = 3π(14 cm/2)² = 147π cm² = 461.81 cm²
The area of the shaded region is the difference between the areas which is equal to 126.19 cm².
User Chayim Friedman
by
8.4k points