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

Area of a sector of a circle of radius 15 cm is 30 cm^2. Find the length of the arc of the sector.

Advertisements
Advertisements

प्रश्न

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

बेरीज
Advertisements

उत्तर

Given: Radius of the sector (r) = 15 cm

Area of the sector (A) = 30 cm

Formula: Area of the sector = \[\frac{1}{2}\] × Length of the arc × Radius

30 = `1/2 xx l xx 15`

`l = (30 xx 2)/15`

`l = 60/15`

`l` = 4 cm

Thus, the length of the arc of the sector is 4 cm.

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 7: Mensuration - Exercise

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)


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


In Δ ABC, if ∠ A = 65° ; ∠ B = 40° then find the measure of ∠ C.


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.


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


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


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


If x = `θ/360` × 2πr then what is x in the formula?


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.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×