Smitha Shaded a square cardboard of side 23 cm , as shown below.
Answers
Answer:
a.) 364.52 cm²
Step-by-step explanation:
- In the above question we have to find the area of the Shaded region.
- So, if we will find the area of the Rectangle and then the area of the circle and subtract them.
- Then, we will get the correct Answer.
Area of the Rectangle: Length x Breadth
Length = 23 cm
Breadth = 23 cm
⇒Area = 23 x 23
⇒ 529 cm²
Now, Area of the unshaded region:
- The unshaded region contains four Semi - Circle.
- 2 Semi - Circle is = 1 Circle
- 4 Semi - Circle is = 2 Circle
Area of 2 circles will be: πr²
Radius = 7cm
Value of π = 22/7
Area = 22/7 x 7²
⇒ 22 / 7 x 7 x 7
⇒ 22 x 7
⇒ 154 cm²
Now, Area of Unshaded region:
⇒Area of Rectangle - Area of Circle
⇒529 - 154
⇒ 375 cm²
364.52 cm² Approx
Answer:
The option A) is closest to the area of shaded region.
Tip:
- Area of square , where is the side of the square.
- Area of semicircle , where is the radius.
Explanation:
- In this question we have given a square in which a figure is made off.
- We have to find the area of shaded region.
- We will find this by first finding the area of square and then subtract the area of unshaded region which was made by four semicircles and one square.
Step
Step 1 of 3:
The area of square whose sides are :
Step 2 of 3:
Now, the area of unshaded region:
Area of four semicircles - Area of square
For radius and side of square :
So, radius of semicircle is and side of square is .
So, Area
Step 3 of 3:
Area of shaded region = Area of square -Area of unshaded region