Easy Level Worksheet

Very Short Answer Questions (1 Mark Each)

(1) Define a circle. A curve with all points from

Correct! A circle is a closed curve where all points are at the same distance from a fixed point called the center.

(2) Write the formula for the circumference of a circle. 2πrπd2

Perfect! Circumference = 2πr or πd.

(3) Find the circumference of a circle with radius 7 cm. cm

Excellent! Circumference = 2π × 7 = 2 × 227 × 7 = 44 cm.

(4) Define radius and diameter of a circle.

Radius is from to while diameter is the radius.

Great! Radius is the distance from center to any point on the circle. Diameter is twice the radius.

(5) Find the area of a circle with radius 5 cm. cm2 (upto one decimal place)

Correct! Area = πr2 = 227 × 25 = 5507 ≈ 78.6 cm2.

Short Answer Questions (2 Marks Each)

Answer each question with proper calculations

(1) Find the circumference of a circle whose diameter is 14 cm. cm

Excellent! Circumference = πd = 227 × 14 = 44 cm.

(2) Find the area of a circle with diameter 10 cm. cm2

Perfect! Radius = 5 cm. Area = πr2 = 227 × 25 = 78.5 cm2.

(3) A circle has radius 9 cm. Find its circumference and area.

Circumference: cm Area: cm2 (upto two decimal places)

Correct! Circumference = 2π × 9 = 56.57 cm, Area = π × 81 = 254.34 cm2.

(4) Find the radius of a circle whose circumference is 44 cm (use π = 227). cm

Great! Circumference = 2πr, so 44 = 2 × 227 × r, therefore r = 7 cm.

(5) Find the area of a circle whose circumference is 31.4 cm (use π = 3.14). cm2

Perfect! Circumference = 2πr = 31.4, so r = 5 cm. Area = π × 25 = 78.5 cm2.

Long Answer Questions (4 Marks Each)

(1) A circular garden has radius 14 m. Find the circumference and area of the garden.

Circumference: m Area: m2

Correct! Circumference = 2π × 14 = 88 m, Area = π × 196 = 616 m2.

(2) A circular pond has diameter 21 m. Find the circumference and area of the pond.

Circumference: m Area: m2

Perfect! Radius = 10.5 m. Circumference = π × 21 = 66 m, Area = π × 110.25 = 346.5 m2.

(3) A circular plate has radius 7 cm. Find its area and circumference.

Area: cm2 Circumference: cm

Excellent! Area = π × 49 = 154 cm2, Circumference = 2π × 7 = 44 cm.

(4) The circumference of a circle is 88 cm. Find its radius and area (use π = 227).

Radius: cm Area: cm2

Great! Radius = 882π = 88 × 72×22 = 14 cm. Area = π × 196 = 616 cm2.

(5) A circular ring has outer radius 14 cm and inner radius 7 cm. Find the area of the ring.

Area of ring: cm2

Correct! Area = πR2−r2 = π(196 - 49) = π × 147 = 462 cm2.

Part B: Objective Questions (1 Mark Each)

Choose the correct answer and write the option (a/b/c/d)

(1) The circumference of a circle with radius 7 cm is:

(a) 44 cm (b) 42 cm (c) 40 cm (d) 45 cm

Correct! Circumference = 2πr = 2 × 227 × 7 = 44 cm.

(2) The area of a circle with radius 5 cm is:

(a) 78.5 cm2 (b) 75 cm2 (c) 70 cm2 (d) 80 cm2

Correct! Area = πr2 = 227 × 25 = 5507 ≈ 78.5 cm2.

(3) The radius of a circle whose diameter is 18 cm is:

(a) 9 cm (b) 8 cm (c) 10 cm (d) 12 cm

Correct! Radius = Diameter ÷ 2 = 18 ÷ 2 = 9 cm.

(4) The area of a circle with diameter 14 cm is:

(a) 154 cm2 (b) 150 cm2 (c) 160 cm2 (d) 140 cm2

Correct! Radius = 7 cm. Area = πr2 = 227 × 49 = 154 cm2.

(5) The formula for circumference of a circle is:

(a) 2πr (b) πr2 (c) πd2 (d) 12πr2

Correct! Circumference = 2πr (or πd).

(6) If radius of a circle is doubled, its circumference:

(a) Doubles (b) Triples (c) Quadruples (d) Remains same

Correct! Circumference = 2πr, so if r doubles, circumference also doubles.

(7) The area of a circle with radius 7 cm is:

(a) 154 cm2 (b) 140 cm2 (c) 150 cm2 (d) 160 cm2

Correct! Area = πr2 = 227 × 49 = 154 cm2.

(8) A circular path has circumference 44 m. Its radius is:

(a) 7 m (b) 6 m (c) 8 m (d) 5 m

Correct! Radius = Circumference ÷ 2π = 44 ÷ (2 × 227) = 7 m.

(9) The radius of a circle whose area is 154 cm2 is:

(a) 7 cm (b) 6 cm (c) 8 cm (d) 9 cm

Correct! Area = πr2 = 154, so r2 = 49, therefore r = 7 cm.

(10) The area of a circular ring with outer radius 10 cm and inner radius 6 cm is:

(a) 214 cm2 (b) 200 cm2 (c) 210 cm2 (d) 220 cm2

Correct! Area = πR2−r2 = π(100 - 36) = π × 64 = 201.14 cm2.

Circle Geometry Challenge

Determine whether these statements are True or False:

Circle Geometry Quiz