मराठी
महाराष्ट्र राज्य शिक्षण मंडळएस.एस.सी (इंग्रजी माध्यम) इयत्ता १० वी

Find the Length of an Arc If Measure of the Arc is 90° and Its Radius is 14 Cm. - Geometry Mathematics 2

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प्रश्न

Find the length of an arc if measure of the arc is 90° and its radius
is 14 cm.

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उत्तर

Measure of arc = 90°
Radius of circle = 14 cm
Length of arc = `θ/360 × 2πr`
                      =` 90/360 × 2 × 22/7 × 14`
                      = 22 cm

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2018-2019 (March) Balbharati Model Question Paper Set 2

संबंधित प्रश्‍न

The radius of a circle is 10 cm. The measure of an arc of the circle is 54°. Find the area of the sector associated with the arc. (\[\pi\]= 3.14 )


The measure of an arc of a circle is 80° and its radius is 18 cm. Find the length of the arc. (π = 3.14)


Area of a sector of a circle of radius 15 cm is 30 cm2 . Find the length of the arc of the sector.


In the given figure, square ABCD is inscribed in the sector A - PCQ. The radius of sector C - BXD is 20 cm. Complete the following activity to find the area of shaded region 


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Length of a rectangular tank is twice its breadth. If the
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length of the tank.


Measure of an arc of a sector of a circle is 900 and its radius is 7cm. Find the perimeter of the sector.
(A) 44 cm (B) 25 cm (C) 36 cm (D) 56 cm


A circle is inscribed in square ABCD of side 14 cm. Complete the following activity to find the area of the shaded portion.
  Activity:

Area of square ABCD = ______

= 142  
 = 196 cm2 
Area of circle = πr2     = `22/7xx 7^2`   
= ____ cm2

Area of shaded portion = Area of square ABCD – Area of circle   

 = 196 – _______

= _____ cm2


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In the given figure, a rectangle ABCD is inscribed inside a semi-circle of radius 10 cm. Using the dimensions given in the figure, determine the area of the shaded region.


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