Two semicircles of equal radii are cut out of a semicircle piece of cardboard.Find the area of the shaded portion.(Ans=38.5m^square)
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Two semicircles of equal radii are cut out of a semicircle piece of cardboard.Find the area of the shaded portion.(Ans=38.5m^square)
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Given :
To FinD :
Solution :
For finding area of remaining Portion, We have to find out area of the bigger semicircle and then we have to remove area of small circles.
So, Area of Bigger Semi Circle
⇒Area = πR²/2
⇒Area = [(22/7) * (7)²]/2
⇒Area = (49 * 22)/ 7 * 2
⇒Area = 1078/14
⇒Area = 77
∴ Area of Bigger Semicircle is 77 m²
__________________________
Now, we have to find area of small semicircles. As they are two semicircle. So, we can multiply area of 1 semicircle by 2.
⇒Area of Semicircles = 2 * (πr²) / 2
⇒Area of semicircles = πr²
⇒Area = (22/7) * (3.5)²
⇒Area = (22/7) * 12.25
⇒Area = (12.25 * 22)/7
⇒Area = 269.5/7
⇒Area = 38.5
∴ Area of Two Semicircles is 38.5 m²
______________________
⇒Area of Shaded Portion = 77 - 38.5
⇒Area of shaded portion = 38.5
∴ Area of Shaded Portion is 38.5 m² (approx.)
Answer :
Given -
To Find -
Answer :
We need to find the area of big semicircle and then subtract the area of both the small semicircles.
Area of the big semicircle = πr²/2.
⇒ (22/7*7²)/2
⇒ (22*7)/2
⇒ 11*7
⇒ 77 m²
Now, Area of one semicircle = πr²/2.
⇒ (3.14*(3.5)²)/2
⇒ (3.14*12.25)/2
⇒ (38.46)/2
⇒ 19.23
So, Area of both the semicircles = 19.23*2 = 38.46 m².
Now, Finding the area of shaded portion = 77 - 38.46 = 38.54 m².
Hence, Area of Shaded portion = 38.54 m².