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A Plot is in the Form of Rectangle Abcd Having Semi-circle on Bc. If Ab = 60m and Bc = 28m, Find the Area of Plot. - Mathematics

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Question

A plot is in the form of rectangle ABCD having semi-circle on BC. If AB = 60m and BC = 28m, find the area of plot.

Solution

Given AB = 60m = DC [length]

BC = 28m = AD [breadth]

Radius of semicircle r =`1/2`× ๐ต๐ถ = 14๐‘š

Area of semicircle r =`1/2`× ๐ต๐ถ = 14๐‘š

Area of plot = (Area of rectangle ABCD) + (area of semicircle)

= (๐‘™๐‘’๐‘›๐‘”๐‘กโ„Ž × ๐‘๐‘Ÿ๐‘’๐‘Ž๐‘‘๐‘กโ„Ž) +`1/2 pir^2`

= `(60 × 28) + [1/2×22/7× 14 × 14]`

= 1680 + 308 = 1988๐‘š2

 

 

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Chapter 13: Areas Related to Circles - Exercise 13.4

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RD Sharma Mathematics [English] Class 10
Chapter 13 Areas Related to Circles
Exercise 13.4 | Q 1
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