Math, asked by jashminjal745, 5 months ago

can anybody answer me ​

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Answered by thegenius7183
1

Answer:

48.375 cm^2

Step-by-step explanation:

in the given figure the the side of square = diameter of circle = 2 × radius = 2×7.5 = 15 cm

so area of square= side × side = 15×15 = 225 cm^2

= area of circle = πr^2 = 3.14 × 7.5 ×7.5 = 176.625 cm^2

so area of shaded region= area of square -area of circle = 225-176.625 = 48.375 cm^2

please please mark as brainliest

Answered by BrainlyPhantom
5

Given,

A circle of diameter 7.5 cm is inscribed in a square.

To Find,

The area of the shaded area.

Solution,

Let's find the area of the area of the square and the circle one-by-one.

The Square

The circle is inscribed inside the square.

∴ The diameter of the circle = measure of one side of the square.

Radius of the circle = 7.5 cm

∴ Diameter = 2r

2 x 7.5

= 15 cm

Area of a square = a² [where a represents one side of a square]

= 15²

= 225 cm²

∴ The area of the square is 225 cm².

The Circle

Area of a circle = πr²

= \dfrac{22}{7}\times7.5\times7.5

= 176.625 cm²

∴ The area of the circle is 176.71 cm².

Area of the remaining shaded region

= Area of square - Area of circle

= 225 - 176.625

= 48.375 cm²

∴ Area of the shaded region is 48.375 cm².

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