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Grade 5 - Mathematics
7.17 Circle Facts

  • Circle is the set of all points in a plane at a fixed distance, called the radius, from a given point, the centre.
  • A circle can be drawn with the help of a compass.
  • A line from the center to any point on the circle is called radius.
  • The distance across a circle through its center is called its diameter.
  • Diameter is twice the radius.
  • A line segment joining two points on a circle shown in the figure is called a chord.
    DC is the chord
    SC is the diameter
    PC is the radius
    P is the center
  • Diameter is the biggest chord and divides the circle into exactly two halves.
  • The circumference of a circle is the perimeter of the circle.
  • The distance around a circle is called its circumference.
  • The formula to find the circumference of the circle is C = Pi x 2 x r
  • The area of the circle is A = Pi x r2

Directions: Answer the following questions. Also draw a circle of radius 3 cm and show its center, radius, diameter.
Q 1: In the formula for finding circumference of a circle C = Pi x d. What is the value of the constant Pi

Q 2: A line segment DC joining two points on a circle shown in the figure is called a ______


Q 3: Diameter of a circle is a chord that passes through the ________

center of the circle
radius of the circle
point on the circle

Q 4: The formula for circumference of a circle with diameter d is =
c = pi x r
c = pi x pi
c = pi x d

Q 5: The circumference of a circle C = Pi x d can also be written as
C = Pi x r
C = 2 x r
C = Pi x 2 x r

Q 6: The radius of a circle is _______________.
equal to the diameter
half of the diameter
twice the diameter

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Question 8: This question is available to subscribers only!

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