Math, asked by maahira17, 11 months ago

Four cows are tethered at four corners of a square plot of side 50 m, so that they just cannot reach one another. What area will be left ungrazed? ​

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Answered by nikitasingh79
28

Answer:

The area left ungrazed will be 535.71 m² .

Step-by-step explanation:

Given :

Side of a square plot, ABCD = 50 m

Radius of quadrant = 25 cm  

Area of square, A1 = side ²

A1 = 50 × 50  

A1 = 2500 cm²

Area of square = 2500 cm²

Area of quadrant,A2 = ¼ πr²

A2 = ¼ × π× 25²  

A2 = 625π/4  

A2 = 625 × 22/7 × 1/4  

A2 = 625 × 11 × 1/7 × 1/2

A2 = 6875/14  

A2 = 491.07 m²

Area of quadrant = 491.07 m²

Area left ungrazed = Area of shaded region

Area of shaded region, A = Area of a square - 4 × Area of quadrant  

A = A1 - 4 × A2  

A = 2500 - 4× 491.07

A = 2500- 1964.28

A = 535.71 m²

Area of shaded region = 535.71 m²

Hence, the area left ungrazed will be 535.71 m² .

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Answered by Nishitha0603
17
Area of remaining = area of square - area of 4 quadrants

area of square = 50×50
=2500m^2

area of 4 quadrants = 4×πr^2/4
= πr^2
=22/7×25×25
= 1,964.28m

Area left ungrazed = 2500-1964.28
= 535.72 m
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