मराठी

The Given Figures Show a Rectangle Abcd Inscribed in a Circle as Shown Alongside. If Ab = 28 Cm and Bc = 21 Cm, Find the Area of the Shaded Portion of the Given Figure. - Mathematics

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प्रश्न

The given figures show a rectangle ABCD inscribed in a circle as shown alongside.
If AB = 28 cm and BC = 21 cm, find the area of the shaded portion of the given figure.

बेरीज
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उत्तर

From the figure,
AB = 28 cm
BC = 21 cm

AC = `sqrt( "AB"^2 + "BC"^2 )`

= `sqrt( 28^2 + 21^2)` 

= 35.

Hence diameter of the circle is 35 cm and hence 
Area = π x `( 35/2 )^2` = 962.5 cm2

Area of the rectangle = 28 x 21 = 588 cm2

Hence area of the shaded portion is given by
A = 962 - 588 = 374.5 cm2

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पाठ 20: Area and Perimeter of Plane Figures - Exercise 20 (C) [पृष्ठ २६२]

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सेलिना Concise Mathematics [English] Class 9 ICSE
पाठ 20 Area and Perimeter of Plane Figures
Exercise 20 (C) | Q 23 | पृष्ठ २६२

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