A circle with radius of \greenD{2\,\text{cm}}2cmstart color #1fab54, 2, start text, c, m, end text, end color #1fab54 sits inside a \blueD{11\,\text{cm} \times 12\,\text{cm}}11cm×12cmstart color #11accd, 11, start text, c, m, end text, times, 12, start text, c, m, end text, end color #11accd rectangle. What is the area of the shaded region?
Answers
Question: A circle with radius 2 cm sits inside 11 cm × 12 cm rectangle. What is the area of the shaded region? [ Refer to the attachment ]
Solution:
Given:
- Radius of circle = 2 cm
- Area of rectangle = 11 cm × 12 cm
To find:
- Area of the shaded region = ?
We find the area of the circle first.
The radius of the circle is 2 cm.
Then the area of the circle is
= π * 2^2 cm²
= 22/7 * 4 cm²
= 88/7 cm²
Now we find the area of the rectangle.
Area of the rectangle is
= 11 × 12 cm²
= 132 cm²
Let us find the area of the shaded region.
∴ the area of the shaded region is
= Area of the rectangle - Area of the circle
= 132 - 88/7 cm²
= 119.43 cm² ( approximately )
Read more on Brainly:
- ABCD is a square of Side 2 CM if each vertex as Centre and one centimetre as radius four circles are drawn then the radi... - https://brainly.in/question/13365464
- A wire 22 centimetre long it is bent to form a square and the same wire is bent to form a circle. By how much the area o... - https://brainly.in/question/8477228
Answer:
42.46
Step-by-step explanation:
First, calculate the area of the whole figure, including the unshaded area.
The area of a rectangle is the length times the width.
Next, calculate the area of the inner figure.
The area of a circle is pi r 2
Finally, subtract the area of the inner circle from the area of the outer rectangle.