Worksheet Solutions: Circles | Mathematics for Class 5 PDF Download

Q1: Fill in the blanks:
(i) A diameter of a circle is a chord that ______ through the centre.
(ii) A radius of a circle is a line segment with one end point ______ and the other end ______.
(iii) If we join any two points on a circle by a line segment. We obtain a ______ of the circle.
(iv) Any part of a circle is called an ______ of the circle.
Ans: (i) passes
(ii) at the centre, on the circle
(iii) chord
(iv) arc

Q2: Find the diameter of the circle whose radius is:
(i) 4 cm
(ii) 18 cm
(iii) 12 cm
(iv) 7 cm
(v) 3 cm
Ans: The formula for the diameter of a circle is: Diameter = 2 × Radius
(i) Radius = 4cm: 2 × 4 = 8cm
(ii) Radius = 18cm: 2 × 18 = 36cm
(iii) Radius = 12cm: 2 × 12 = 24cm
(iv) Radius = 7cm: 2 × 7 = 14cm
(v) Radius = 3cm: 2 × 3 = 6cm

Q.3 Find the radius of a circle whose diameter is 10 cm

Ans: The radius of the circle is 10/2 = 5 cm

Q.4 Find the circumference of a circle with diameter 14 cm

Ans: Circumference = π * diameter = π * 14 = 22/7 * 14 = 44 cm

Q.5 If the radius of a circle is 21 cm, what is its circumference?
Ans:  Circumference = π * 2 * radius = π * 2 * 21 = 22/7 * 2 * 21 = 22 * 6 = 132 cm

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