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### Grade 5 - Mathematics7.17 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: The circumference of a circle C = Pi x d can also be written asC = Pi x rC = Pi x 2 x rC = 2 x r Q 2: In the formula for finding circumference of a circle C = Pi x d. What is the value of the constant Pi3.143.173.00 Q 3: The formula for circumference of a circle with diameter d is =c = pi x pic = pi x dc = pi x r Q 4: Diameter of a circle is a chord that passes through the ________point on the circlecenter of the circleradius of the circle Q 5: The line which divides a circle in half is called theradiusdiameterperimeter Q 6: The radius of a circle is _______________.equal to the diameterhalf of the diametertwice the diameter Question 7: This question is available to subscribers only! Question 8: This question is available to subscribers only!