In worksheet on circle we will solve 10 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.**

**Answer:**

(a) OT, OS, OP, OR

(b) PR

(c) PQ

**3. Observe the circles given below and identify.**

**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. 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

**17. 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.

**18. 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

**19. For the given circle:**

**20. 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.

To download the above worksheet **Click Here.**

Worksheet on Circle

**● Circle**

**Relation between Diameter Radius and Circumference.**

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