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.

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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Length of an Arc
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
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.


The area of a sector of a circle of 6 cm radius is 15 \[\pi\] sq.cm. Find the measure of the arc and length of the arc corresponding to the sector.


In the given figure, seg AB is a chord of a circle with centre P. If PA = 8 cm and distance of chord AB from the centre P is 4 cm, find the area of the shaded portion. ( \[\pi\] = 3.14, \[\sqrt{3}\]= 1.73 )


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 


Length of a rectangular tank is twice its breadth. If the
depth of the tank is 3 m and area of its four walls is 108 m2, find the
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


Match the following:

Column A Column B
(i) Area of a circle (a) `1/4 pi"r"^2`
(ii) Circumference of a circle (b) (π + 2)r
(iii) Area of the sector of a circle (c) πr2
(iv) Circumference of a semicircle (d) 2πr
(v) Area of a quadrant of a circle (e) `theta^circ/360^circ xx pi"r"^2`

For the sectors with given measures, find the length of the arc, area and perimeter. (π = 3.14)

central angle 45°, r = 16 cm


For the sectors with given measures, find the length of the arc, area and perimeter. (π = 3.14)

central angle 120°, d = 12.6 cm


A circle of radius 120 m is divided into 8 equal sectors. Find the length of the arc of each of the sectors


Two gates are fitted at the entrance of a library. To open the gates easily, a wheel is fixed at 6 feet distance from the wall to which the gate is fixed. If one of the gates is opened to 90°, find the distance moved by the wheel (π = 3.14)


In the given figure `square`ABCD is a square of side 50 m. Points P, Q, R, S are midpoints of side AB, side BC, side CD, side AD respectively. Find area of shaded region


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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