Question

find the area of the shaded region where ABCD is a square of side 14cm . ( four equal circle inside the square) . And please explain me how the radius is obtained .

Answer 1

Hi!

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Area of Square ABCD

14 * 14 cm^2

= 196 cm^2

Diameter of each Circle

$\frac{14}{2} cm$

= 7 cm

Radius of each Circle

= $\frac{7}{2} cm$

Area of one Circle

= $\pi r^2$

= $\frac{22}{7} * \frac{7}{2} * \frac{7}{2}$

= $\frac{154}{4}$

= $\frac{77}{2} cm^2$

Area of Four Circle

$4 * \frac{77}{2} cm^2$

= 154 cm^2

Area of Shaded Region

Area of Shaded Region = Area of Square ABCD - Area of four Circles

= ( 196 - 154 ) cm^2

= 42 cm^2

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Thanks !!  

Answer 2

Answer:

Step-by-step explanation:

Solution :-

Area of square ABCD = 14 × 14 = 196 cm²

Diameter of each circle = 14/2 = 7 cm

So, radius of each circle = 7/2 cm

So, area of 4 circles = 4 × 22/7 × 7/2 × 7/2

= 4 × 154/4 cm²

= 154 cm²

Area of shaded region = Area of square - Area of 4 circles

Area of shaded region = 196 - 154

Area of shaded region = 42 cm²

Hence, the area of the shaded region is 42 cm²