Question

Calculate the area of the shaded region common between two quadrants of circles of radius 7cm each.

Answer 1

Answer:

hope this answer helps

Answer 2

Area of the shaded region = 27.96 cm ²

Given:

Quadrants of circles of radius 7 cm each.

To find:

Area of the shaded region.

Formula used:

Area of square = (side)²

Area of arc = $\frac{Angle \ of \ arc \ in\ radian }{2\pi }$ × $\pi$ ×(Radius)²

Explanation:

• Area of square = (7)² = 49 cm².
• Angle subtended by by Arc DPB and Arc DQB = 90° = $\frac{\pi }{2}$ Radian
• Area of arc DPB = $\frac{Angle \ of \ arc \ in\ radian }{2\pi }$ ×$\pi$ ×(Radius)²

                           = $\frac{\frac{\pi }{2} }{2\pi }$ × $\pi$ ×(7)² = 38.48 cm².

• Similarly,

• Area of arc DQB = $\frac{Angle \ of \ arc \ in\ radian }{2\pi }$ ×$\pi$ ×(Radius)²

                           = $\frac{\frac{\pi }{2} }{2\pi }$ × $\pi$ ×(7)² = 38.48 cm².

• From the geometry of given figure it is clear that when we add Area of both arc and subtract it from area of square we find area of shaded region.

• Area of the shaded region = 38.48 +  38.48 -49

                                                     = 27.96 cm ²

To learn more....

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a. because data are encrypted and hard to analyze

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