the area of a circle is 154cm. find the area of a square inscribed in the circle?
Answers
Step-by-step explanation:
The area of a square inscribed in the circle is 98 cm².
To find :
The area of square inscribed in the circle.
Given :
If the area of a circle = 154 cm². (Given)
Area of circle = π r²
154 = π r²
r^{2}r2 = 49
r = \sqrt{49}49
r = 7
Square is inscribed in the circle,
Where, Diagonal of the square = diameter of the circle
Diagonal = 2 r
= 2 × 7
Diagonal = 14
To find side of the square :
Side of the square = \frac{Diagonal}{\sqrt{2} }2Diagonal
= \frac{14}{\sqrt{2} }214
= \frac{7 \times 2}{\sqrt{2}}27×2
Area of the square = 7\sqrt{2}2
Hence, the area of the square = side²
= 7\sqrt{2}2 × 7
= 49 × 2
Area of square = 98
Thus, the area of square inscribed in the circle is 98 cm².
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Answer:
Step-by-step explanation:
area of circle = (π)r²
154 = 22/7(r²)
154*7/22 = r²
49 = r²
√49 = r
r = 7cm
therefore,
area inscribed by square in the circle
the diagonal of square will be 14cm
therefore,
area of square or rhombus = 1/2*14*14
i.e. 14*7
therefore area of square is 98cm²