Pls pls answer this math question.....
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In a cirlcle of radius 7cm, a square ABCD is inscribed. Find the area of circle which is outside square.
Answers
Answer:
56 cm²
Step-by-step explanation:
Radius of the circle = 7 cm
Then, Diameter of the circle = 14 cm
Here, diagonal of square = 14 cm
∵ Side of a square = (Diagonal)/√2
⇒ Side = 7√2 cm
∴ Area of square = side * side
= 7√2 * 7√2
= 98 cm²
Area of circle = πr²
= 22 × 7
= 154 cm²
Thus, the area of the circle outside the square
= Area of circle - Area of square
= 154 - 98
= 56 cm²
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Answer:
the area of circle which is outside square is 63cm^2
Step-by-step explanation:
diagonal of the square = diameter of the circle
= 2 × radius
= 2 × 7
= 14cm
area of the square = 1/2 × d^2
= 1/2 × 14 × 14
= 14 × 7
= 91cm^2
area of the circle = πr^2
= 22/7 × 7 × 7
= 22 × 7
= 154cm^2
the area of circle which is outside square = area of circle - area of square
= 154 - 91
= 63cm^2
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