Math, asked by indiraharish15, 10 months ago

The length and breadth of rectangular park are 14cm and 7cm respectively Two semicircular ponds are made inside the park by making the breadth as diameter and a flower garden is made in the remaining portion find the area of flower garden​

Answers

Answered by nikhilscigeek2005
7

answer is 59.5

Step-by-step explanation:

area of garden = area of rectangle - area of 2 semicircles

= 98 - 2(πr^2/2)

= 98 - 38.5

= 59.5

Answered by sharonr
5

Area of flower garden is 59.535 square centimeter

Solution:

Given that,

The length and breadth of rectangular park are 14cm and 7cm respectively

The area of rectangle is given as:

Area\ of\ rectangle = length \times breadth\\\\Area\ of\ rectangle = 14 \times 7 \\\\Area\ of\ rectangle = 98\ cm^2

Two semicircular ponds are made inside the park by making the breadth as diameter

Diameter = breadth = 7 cm

Radius = \frac{7}{2} = 3.5\ cm

Area of semicircle is given as:

Area\ of\ semicircle = \frac{ \pi r^2}{2}

Then area of two semicircular ponds is given as:

Area\ of\ two\ semicircular\ pond = 2(\frac{ \pi r^2}{2})\\\\Area\ of\ two\ semicircular\ pond = \pi r^2 = 3.14 \times 3.5^2\\\\Area\ of\ two\ semicircular\ pond = 38.465\ cm^2

A flower garden is made in the remaining portion

Find the area of flower garden​

Area of flower garden = area of rectangular park - area of two semicircular ponds

Area of flower garden = 98 - 38.465 = 59.535

Thus area of flower garden is 59.535 square centimeter

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