Advertisement Remove all ads

If the Area of the Circle is Numerically Equal to Twice Its Circumference Then What is the Diameter of the Circle? - Mathematics

Sum

If the area of the circle is numerically equal to twice its circumference then what is the diameter of the circle?

Advertisement Remove all ads

Solution

Let the diameter of the required circle be d.
Now, Area of circle = 2 ⨯ Circumference of the circle 

`=> pi("d"/2)^2 =2(2pixxd/2)`

`=>(d/2)^2 =2"d"`

⇒ d= 8d

⇒ d- 8d = 0

⇒ d (d - 8) = 0

⇒ d = 8 cm    [∴ d ≠ 0 ]

Hence, the diameter of the of the circle is 8 cm.

  Is there an error in this question or solution?
Advertisement Remove all ads

APPEARS IN

RS Aggarwal Secondary School Class 10 Maths
Chapter 18 Area of Circle, Sector and Segment
Exercise 18A | Q 4 | Page 819
Advertisement Remove all ads

Video TutorialsVIEW ALL [1]

Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×