In the given figure, find the area of the shaded portion. In the given figure, find the area of the shaded portion.
Answers
⭐ Question :-
In the given figure, find the area of the shaded portion.
⭐ Concept :-
In this question, a figure is given. There is a square which is shaded and there is a circle inside the square. According to the question we have to find the area of the shaded portion that's the square. So, first we will find the area of the square than the area of the circle. After finding the area of both square and circle, we will subtract the area of the circle from the area of the square to find the area of the shaded portion that is the square.
⭐ Given :-
- Radius of the circle = 3.5 cm
- Side of the square = 10 cm
⭐ To Find :-
- Area of the shaded portion [ square ]
⭐ Solution :-
★ Area of the square :-
GIVEN : Side = 10 cm
FORMULA USED : Area of a square = side × side or a² [ a represents side of a square ]
⇒Area = a²
⇒Area = 10 ²
⇒Area = 100 cm²
Therefore, the area of the square is 100 cm².
★ Area of the circle :-
GIVEN : Radius of the circle = 3.5 cm
FORMULA USED : Area of the circle = π×r²
⇒Area = π×r²
⇒Area = 22/7 × 3.5²
⇒Area = 22/7 × 3.5 × 3.5
⇒Area = 22 × 0.5 × 3.5
⇒Area = 11 × 3.5
⇒Area ≈ 38.5
Therefore, the area of the circle is approximately 38.5 cm².
★ Area of the shaded portion :-
AREA OF THE SQUARE = 100 cm²
AREA OF THE CIRCLE = 38.5 cm²
⇒Area of the shaded portion = area of square - area of circle
⇒Area of the shaded portion = 100 cm² - 38.5 cm²
⇒Area of the shaded portion = 61.5 cm²
Therefore,the area of the shaded portion is 61.5 cm²
Joyful learning!!!⛅
Answer ⤵️
Circle's radius= 3 cm
Area=πr²
= 22/7×9
= 198/7
= 28.28 cm²
Area of the square=(side)²
= 10²
= 100 cm²
Area of the shaded portion= 100-28.28
= 71.72 cm²
So the area of the shaded portion is 71.72 cm².
Step-by-step explanation:
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