मराठी

In a Circle of Radius 35 Cm, an Arc Subtends an Angle of 72° at the Centre. Find the Length of Arc and Area of Sector - Mathematics

Advertisements
Advertisements

प्रश्न

In a circle of radius 35 cm, an arc subtends an angle of 72° at the centre. Find the length of arc and area of sector

उत्तर

Radius (r) = 35 cm

𝜃 = angle subtended at centre = 72°

Length of arc =`theta/360^@`× 2𝜋𝑟

=`7/360× 2 ×22/7× 35`

= 2 × 22 = 44 CMS

Area of sector =`theta/360^@× pir^2`

`= 72/360×22/7× 35 × 35`

= (35 × 22) = 770 cm2

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 13: Areas Related to Circles - Exercise 13.2 [पृष्ठ २५]

APPEARS IN

आरडी शर्मा Mathematics [English] Class 10
पाठ 13 Areas Related to Circles
Exercise 13.2 | Q 11 | पृष्ठ २५

संबंधित प्रश्‍न

Find the area of the minor segment of a circle of radius 14 cm, when its central angle is 60˚. Also find the area of the corresponding major segment.[use π=22/7]


Find the area of a sector of a circle with radius 6 cm if angle of the sector is 60° [Use `pi = 22/7`]


A chord of a circle of radius 12 cm subtends an angle of 120° at the centre. Find the area of the corresponding segment of the circle. [Use π = 3.14 and `sqrt3 = 1.73` ]


A brooch is made with silver wire in the form of a circle with diameter 35 mm. The wire is also used in making 5 diameters which divide the circle into 10 equal sectors as shown in figure. Find.

  1. The total length of the silver wire required.
  2. The area of each sector of the brooch [Use π = `22/7`]


A sector is cut-off from a circle of radius 21 cm the angle of sector is 120°. Find the length of its arc and its area.


In the given figure, if O is the centre of the circle, PQ is a chord. \[\angle\] POQ = 90°, area of shaded region is 114 cm2 , find the radius of the circle. \[\pi\] = 3.14)

 


If the area of a circle is numerically equal to twice its circumference, then the diameter of the circle is ____________.


The areas of two sectors of two different circles with equal corresponding arc lengths are equal. Is this statement true? Why?


Sides of a triangular field are 15 m, 16 m and 17 m. With the three corners of the field a cow, a buffalo and a horse are tied separately with ropes of length 7 m each to graze in the field. Find the area of the field which cannot be grazed by the three animals.


Find the area of the unshaded region shown in the given figure.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×