186k views
0 votes
This figure consists of a rectangle and a quarter circle. What is the perimeter of this figure? Use 3.14 for pi.

This figure consists of a rectangle and a quarter circle. What is the perimeter of-example-1
User Jim Garvin
by
8.1k points

1 Answer

5 votes

The area of the given shape is 220.24 square cm.

Explanation:

Step 1;

Area of given shape = Area of the rectangle + Area of the quarter circle.

The given rectangle measures a length of 17 cm and a width of 10 cm. The area of any given rectangle is the multiplication of its length and width. Area of the Rectangle = Length * Width = 17 cm * 10 cm = 170 square cm.

The area of any given circle is π times the square of the radius. The radius of this circle is equal to 8 cm.

Area of the circle = π × r² = 3.14 × 8 × 8 = 200.96 square cm.

200.96 square cm is the area of a full circle with a radius of 8 cm. We divide the area by 4 to convert it into a quarter-circle.

Area of the quarter circle = 200.96 square cm / 4 = 50.24 square cm.

So the quarter circle covers an area of 50.24 square cm.

Step 2;

Area of given shape = Area of the rectangle + Area of the quarter circle

Area of given shape = 170 + 50.24 = 220.24 square cm.

User Santhosh Gandhe
by
7.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories