рд╣рд┐рдВрджреА

The Area of Sector of Circle of Radius 2cm is ЁЭЬЛCm2. Find the Angle Contained by the Sector. - Mathematics

Advertisements
Advertisements

рдкреНрд░рд╢реНрди

The area of sector of circle of radius 2cm is ЁЭЬЛcm2. Find the angle contained by the sector.

рдЙрддреНрддрд░

Area of sector = ЁЭЬЛ ЁЭСРЁЭСЪ2

Radius of circle = 2ЁЭСРЁЭСЪ

Let ЁЭЬГ = angle subtended by arc at centre

Area of sector =`theta/360^@× pir^2`

=`theta/360^@× pi× 2 × 2`

=`(pitheta)/90^@`

`(pitheta)/90^@`= ЁЭЬЛ ⇒ ЁЭЬГ = 90°

shaalaa.com
  рдХреНрдпрд╛ рдЗрд╕ рдкреНрд░рд╢реНрди рдпрд╛ рдЙрддреНрддрд░ рдореЗрдВ рдХреЛрдИ рддреНрд░реБрдЯрд┐ рд╣реИ?
рдЕрдзреНрдпрд╛рдп 13: Areas Related to Circles - Exercise 13.2 [рдкреГрд╖реНрда реирел]

APPEARS IN

рдЖрд░рдбреА рд╢рд░реНрдорд╛ Mathematics [English] Class 10
рдЕрдзреНрдпрд╛рдп 13 Areas Related to Circles
Exercise 13.2 | Q 8 | рдкреГрд╖реНрда реирел

рд╕рдВрдмрдВрдзрд┐рдд рдкреНрд░рд╢реНрди

Find the area of sector whose arc length and radius are 10 cm and 5 cm respectively


A horse is tied to a peg at one corner of a square shaped grass field of side 15 m by means of a 5 m long rope (see the given figure). Find

  1. The area of that part of the field in which the horse can graze.
  2. The increase in the grazing area of the rope were 10 m long instead of 5 m. [Use π = 3.14]


AB is a chord of a circle with centre O and radius 4 cm. AB is of length 4 cm and divides the circle into two segments. Find the area of the minor segment.


In the given figure, PA and PB are tangents to a circle from an external point P such that PA = 4 cm and ∠BAC = 135°. Find the length of chord AB ?


A cow is tied with a rope of length 14 m at the corner of a rectangular field of dimensions 20 m × 16 m. Find the area of the field in which the cow can graze. 


In the given figure, ABCD is a square of side 7 cm, DPBA and DQBC are quadrants of circles each of the radius 7 cm. Find the area of shaded region.


If `theta` is the angle in degrees of a sector of a circle of radius V, then area of the sector is ____________.


Find the area of the shaded region where ABC is a quadrant of radius 5cm and a semicircle is drawn with BC as diameter.


In figure, ABCD is a trapezium with AB || DC, AB = 18 cm, DC = 32 cm and distance between AB and DC = 14 cm. If arcs of equal radii 7 cm with centres A, B, C and D have been drawn, then find the area of the shaded region of the figure.


In a circle of radius 21 cm, an arc subtends an angle of 60° at the centre. Find the area of the segment formed by the corresponding chord. (Use π = `22/7`)


Share
Notifications

Englishрд╣рд┐рдВрджреАрдорд░рд╛рдареА


      Forgot password?
Use app×