Math, asked by questionbabaji79, 1 year ago

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find the area of the shaded region in the following figure where PQRS is a rectangle 30 M long and the two circles have the same radii [the figure is in the attachment]
(π = 3.14)

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explaination needed

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Answers

Answered by Anonymous
51
hey mate
refer to attachment
Attachments:

arjun6068: superb and tnks
stylishtamilachee: Awesome answer bro ☺
tashu47: please help me in solving in solving the problem of of math questions
arjun6068: tashu47 tell me ??:)
Answered by abhi569
105
Given that the length of the rectangle is 30 cm.

On onbserving the diagram, we get that length of the rectangle is 2 times of the diameter of a circle and diameter of the circle is the breadth of the rectangle.


Now,
= > 2 × Diameter of the circle = 30 cm

= > Diameter of the circle = 15 cm

= > Radius of the circle = 7.5 cm



As Diameter of one ( any ) is equal to the breadth of the rectangle.
Breadth of the rectangle = 15 cm.


Now,

= > Area of the shaded region = area of rectangle - area of circles ( same radius & Diameter )


= > Area of the shaded region = ( 30 × 15 ) cm² - 2 × area of one circle

= > Area of the shaded region = 450 cm² - 2 × 3.14 × ( 7.5 )² cm²

= > Area of the shaded region = 450 cm² - 353.25 cm²

= > Area of shaded region = 96.75 cm²




Therefore the area of shaded region is 96.75 cm².

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