Math, asked by kamalkantgautam, 1 month ago

Who will solve this answer first I will follow him and mark as brainliest
1. There are two parks A and B as shown
below.
30 m
Park A
30 m
Park B
75 m
75 m

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Answers

Answered by snehitha2
7

Answer :

Park B has greater area than park A by 706.5 m²

Step-by-step explanation :

To know which park has greater area, we have to find out separately the areas of parks A and B.

Area of park A :

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= Area of rectangle of dimension 75 m × 30 m - Area of semicircle of diameter 30 m

\sf =(75 \ m \times 30 \ m) -\pi \dfrac{d^2}{8} \\\\ \sf =(75 \times 30 ) -\bigg(3.14\times \dfrac{30^2}{8} \bigg)\\\\ \sf =(2250 ) -\bigg(3.14 \times \dfrac{900}{8} \bigg ) \\\\ = 2250-\bigg(3.14 \times 112.5 \bigg) \\\\ = 2250-353.25 \\\\ =1896.75 \ m^2

Area of park B :

\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\put(0,0){\line(0,1){2}}\put(0,0){\line(1,0){3}}\put(0,2){\line(1,0){3}}\qbezier(3,2)(3.8,1)(3,0)\put(0.8,1){\sf Park B}\put(1,-0.5){\sf 75 m}\put(-1,1){\sf 30 m}\put(3,2){\line (0,-1){0.5}}\put(3,1.3){\line (0,-1){0.5}}\put(3,0.5){\line (0,-1){0.5}}\end{picture}

= Area of rectangle of dimension 75 m × 30 m + Area of semicircle of diameter 30 m

\sf =(75 \ m \times 30 \ m) +\pi \dfrac{d^2}{8} \\\\ \sf =(75 \times 30 ) +\bigg(3.14\times \dfrac{30^2}{8} \bigg)\\\\ \sf =(2250 ) +\bigg(3.14 \times \dfrac{900}{8} \bigg ) \\\\ = 2250+\bigg(3.14 \times 112.5 \bigg) \\\\ = 2250+353.25 \\\\ =2603.25 \ m^2

2603.25 m² > 1896.75 m²

2603.25 m² - 1896.75 m² = 706.5 m²

Therefore, Park B has greater area than park A by 706.5 m²

--------------------------------

[Area of semicircle = πr²/2 = πd²/8 ]

Answered by sharanyalanka7
4

Answer:

Step-by-step explanation:

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1)area of park A:

formula of area of park A= area of rectangle-area of semicircle

given,

length of rectangle = 75m

breadth of rectangle = 30m

radius of semicircle = diameter of semicircle/2 = 30m/2 = 15m

area of rectangle = l*b = 75m*30m = 2250m^2

area of semicircle= πr^2/2 = 3.14*(15^2)/2= 3.14*225/2 = 706.85/2= 353.42m^2

area of park A= 2250m^2-353.42m^2=1896.58m^2

2) area of park B:

formula of area of park B= area of rectangle+area of semicircle\\

length of rectangle = 75m

breadth of rectangle = 30m

radius of semicircle = diameter of semicircle/2 = 30m/2 = 15m

area of rectangle = l*b = 75m*30m = 2250m^2

area of semicircle= πr^2/2 = 3.14*(15^2)/2= 3.14*225/2 = 706.85/2= 353.42m^2

area of park B= 2250m^2+353.42m^2=2603.42m^2

:. area of park B is grater than area of park A .

by:

2603.42m^2-1896.58m^2=706.84

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