рд╣рд┐рдВрджреА

The Area Enclosed Between the Concentric Circles is 770cm2. If the Radius of Outer Circle 21cm. Find the Radius of Inner Circle - Mathematics

Advertisements
Advertisements

рдкреНрд░рд╢реНрди

The area enclosed between the concentric circles is 770cm2. If the radius of outer circle 21cm. find the radius of inner circle

рдпреЛрдЧ

рдЙрддреНрддрд░

Radius of outer circle = 21ЁЭСРЁЭСЪ

Radius of inner circle = ЁЭСЕ2

Area between concentric circles = area of outer circle – area of inner circle

⇒ 770 =`22/7`(212 − R22)

⇒ 212 − ЁЭСЕ22 = 35 × 7 = 245

⇒ 441 – 245 = ЁЭСЕ22

⇒ЁЭСЕ2= `sqrt(196)` = 14 ЁЭСРЁЭСЪ

Radius of inner circle = 14cm.

shaalaa.com
  рдХреНрдпрд╛ рдЗрд╕ рдкреНрд░рд╢реНрди рдпрд╛ рдЙрддреНрддрд░ рдореЗрдВ рдХреЛрдИ рддреНрд░реБрдЯрд┐ рд╣реИ?
рдЕрдзреНрдпрд╛рдп 13: Areas Related to Circles - Exercise 13.1 [рдкреГрд╖реНрда резреи]

APPEARS IN

рдЖрд░рдбреА рд╢рд░реНрдорд╛ Mathematics [English] Class 10
рдЕрдзреНрдпрд╛рдп 13 Areas Related to Circles
Exercise 13.1 | Q 19 | рдкреГрд╖реНрда резреи

рд╕рдВрдмрдВрдзрд┐рдд рдкреНрд░рд╢реНрди

Find the area of the shaded region in the given figure, if ABCD is a square of side 14 cm and APD and BPC are semicircles.  [Use Π = 22/7]


The area of an equilateral triangle ABC is 17320.5 cm2. With each vertex of the triangle as centre, a circle is drawn with radius equal to half the length of the side of the triangle (See the given figure). Find the area of shaded region. [Use π = 3.14 and `sqrt3 `= 1.73205]


On a square handkerchief, nine circular designs each of radius 7 cm are made (see the given figure). Find the area of the remaining portion of the handkerchief.[Use Π = 22/7]


In the given figure, OACB is a quadrant of circle with centre O and radius 3.5 cm. If OD = 2 cm, find the area of the

(i) Quadrant OACB

(ii) Shaded region

[Use Π = 22/7]


The perimeter of a right triangle is 40 cm and its hypotenuse measure 17 cm. Find the area of the triangle. 


The height of an equilateral triangle is 6 cm. Find its area. 


If the area of an equilateral triangle is `81sqrt3 cm^2` find its height. 

 


In Figure 4, ABCD is a square of side 4 cm. A quadrant of a circle of radius 1 cm is drawn at each vertex of the square and a circle of diameter 2 cm is also drawn. Find the area of the shaded region. (Use π = 3.14)


A plane left 30 minutes later than the scheduled time and in order to reach its destination 1500 km away on time, it has to increase its speed by 250 km/hr from its usual speed. Find the usual speed of the plane.


Read the following passage:

Governing council of a local public development authority of Dehradun decided to build an adventurous playground on the top of a hill, which will have adequate space for parking.

After survey, it was decided to build rectangular playground, with a semi-circular area allotted for parking at one end of the playground. The length and breadth of the rectangular playground are 14 units and 7 units, respectively. There are two quadrants of radius 2 units on one side for special seats.

Based on the above information, answer the following questions:

  1. What is the total perimeter of the parking area?
  2. (a) What is the total area of parking and the two quadrants?
    OR
    (b) What is the ratio of area of playground to the area of parking area? 
  3. Find the cost of fencing the playground and parking area at the rate of тВ╣ 2 per unit.

Share
Notifications

Englishрд╣рд┐рдВрджреАрдорд░рд╛рдареА


      Forgot password?
Use app×