Worksheet on Circle
In worksheet on circle we will solve different types of question in circle.
1. The following figure shows a circle with centre O and some line segments drawn in it. Classify the line segments as radius, chord and diameter:
(i) OA = ………………..
(ii) OB = ………………..
(iii) OC = ………………..
(iv) EF = ………………..
(v) MN = ………………..
(vi) PQ = ………………..
2. Observe the circles given below and identify.
 |
(a) Radius = ………………………… (b) Diameter = ………………………… (c) Chord = ………………………… |
Answer:
(a) OT, OS, OP, OR
(b) PR
(c) PQ
3. Observe the circles given below and identify.
 |
Label the centre as O Draw 2 radius OQ and OR Draw the chord ZR |
Answer:
4. Draw a radius, diameter, chord in the given circle using the points. Also measure the length of radius and diameter.
 |
(i) Radius = ……………… = ……………… cm (ii) Diameter = ……………… = ……………… cm (iii) Highlight the circumference by using green color. (iii) Highlight the chord by using blue color. |
Answer:
(i) OB, OA, OC = 2 cm
(ii) BC = 4 cm
(iii)
5. With the help of a compass, draw a circle of radius:
(i) 4.5 cm.
(ii) 5.2 cm
6. Draw a circle of radius 6 cm.
7. Draw a circle of diameter 5.5 cm.
8. Draw a circle with centre C and radius 4.7 cm. Mark point P,Q,R such that P lies in the interior of the circle, Q lies on the circle and R lies in the exterior of the circle.
9. Draw a circle using ruler and compass.
(i) Radius = 4 cm
(ii) Diameter = 6 cm
(iii) Diameter = 8 cm
(iv) Radius = 3.5 cm
10. Draw a circle whose diameter is 10 cm. Find its radius.
11. Find the radius if the diameter of the circle is:
(i) 12 cm
(ii) 32 cm
(iii) 28 m
(iv) 36 cm
Answer:
(i) 6 cm
(ii) 16 cm
(iii) 14 m
(iv) 18 cm
12. Find the diameter if the radius of the circle is:
(i) 11 cm
(ii) 7 m
(iii) 10 cm
(iv) 17 cm
Answer:
(i) 22 cm
(ii) 14 m
(iii) 20 cm
(iv) 34 cm
13. With a same circle, draw three circles first with radius 2 cm. second with radius 3 cm and third with radius 4 cm.
14. A circle has a radius 7 cm. Find the length of the longest chord of this circle.
15. State
whether each of the following statement is true or false.
(i) Each radius of a circle is also a chord of the circle ............ .
(ii) Each diameter of a circle is also a chord of the circle ............ .
(iii) The centre of a circle bisects each chord of the circle ............ .
(iv) A circle is a polygon
(v) A circle is a closed figure without corners.
(vi) The chord of a circle is also its radius.
(vii) The chord of a circle can be equal to the diameter of a circle.
(viii) The diameter represents the length of a circle.
Answer:
(i) False
(ii) True
(iii) False
(iv) False
(v) True
(vi) False
(vii) True
(viii) False
16. Multiple Choice Questions (MCQ) on Circle:
Tick (✔) the correct option.
(i) In a circle, the area bounded by an arc and two radii joining the centre to the end- points of the arc is called a
(a) sector; (b) segment; (c) arc; (d) secant
(ii) The radius of a circle of diameter 20.4 cm is
(a) 20.4 cm; (b) 11.8 cm; (c) 10.2 cm; (d) 5.1 cm
(iii) The area bounded by a diameter and the semicircle is called
(a) minor segment; (b) major segment; (c) semi-circular region; (d) perimeter
Answer:
16. (i) (a) sector
(ii) (c) 10.2 cm
(iii) (c) semi-circular region
17. From the adjoining figure, name the following:
|
(i) Radius (ii) Diameter (iii) Chord (iv) Semi-circle |
 |
Answer:
17. (i) OA, AO
(ii) BC
(iii) PQ
(iv) BC, BPQAC
Worksheet on Circle
18. A circle with centre I is given below. Fill in the blanks:
(i) IM is the __________ of the circle.
(ii) HQ is the __________ of the circle.
(iii) PQ is the __________ of the circle.
(iv) PM is an __________ of the circle.
(v) The name of the circumference of the circle is __________.
Answer:
18. (i) radius
(ii) chord
(iii) radius
(iv) arc
(v) PHQMP
19. Find the radius of the circle whose diameter is:
(i) 20 cm
(ii) 32 cm
(iii) 30 cm
(iv) 72 cm
(v) 12 cm
(vi) 14 cm
(vii) 36 cm
(viii) 44 cm
(ix) 18 cm
(x) 28 cm
Answer:
19. (i) 10 cm
(ii) 16 cm
(iii) 15 cm
(iv) 36 cm
(v) 6 cm
(vi) 7 cm
(vii) 18 cm
(viii) 22 cm
(ix) 9 cm
(x) 14 cm
20. Find the diameter of the circle whose radius is:
(i) 4 cm
(ii) 18 cm
(iii) 12 cm
(iv) 7 cm
(v) 3 cm
(vi) 11 cm
Answer:
20. (i) 8 cm
(ii) 36 cm
(iii) 24 cm
(iv) 14 cm
(v) 6 cm
(vi) 22 cm
21. Fill in the blanks:
(i) A circle consists of an infinite number of __________.
(ii) All radii of a circle are __________.
(iii) The longest chord of a circle is known as __________.
(iv) The boundary of a circle is known as its __________.
Answer:
21. (i) raddi
(ii) equal.
(iii) diameter
(iv)
circumference
22. If the diameter of a pan pizza is 18 cm, then find the length of the straight sides of the pizza slice.
(i) Diameter = ………………
(ii) Radius = ………………
(iii) Side of the pizza slice.
Answer:
(i) 18 cm
(ii) 9 cm
(iii) 9 cm
23. 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.
24. Choose the right answer.
(i) The circle with a radius 6 cm will have the diameter of __________.
(a) 11 cm (b) 12 cm (c) 13 cm (d) 14 cm
(ii) A circle has __________ lines of symmetry.
(a) 5 (b) 10 (c) 15 (d) infinite
Answer:
24. (i) (b) 12 cm
(ii) (d) infinite
25. For the given circle:
26. Using a compass draw a circle of radius 5 cm. Name its centre as P. Draw and mark:
(i) A radius LN
(ii) A diameter XY.
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