**Finding the area and circumference of a circle worksheet :**

Worksheet given in this section is much useful to the students who would like to practice problems area and circumference of a circle.

1. An irrigation sprinkler waters a circular region with a radius of 14 feet. Find the circumference of the region watered by the sprinkler. Use 22/7 for π.

2. The diameter of a car wheel is 21 inches. Find the circumference of the wheel.

3. Find the diameter, radius, circumference and area of the circle shown below. use 3.14 as an approximation for ∏.

4. A biscuit recipe calls for the dough to be rolled out and circles to be cut from the dough. The biscuit cutter has a radius of 4 cm. Find the area of the top of the biscuit once it is cut. Use 3.14 for π.

**Problem 1 :**

An irrigation sprinkler waters a circular region with a radius of 14 feet. Find the circumference of the region watered by the sprinkler. Use 22/7 for π.

**Solution : **

Use the formula.

C = 2πr

Plug 14 for r

C = 2π(14)

Plug 22/7 for π

C ≈ 2 x (22/7) x 14

Simplify

C ≈ 2 x (22/1) x 2

C ≈ 88

Hence, the circumference of the region watered by the sprinkler is about 88 feet.

**Problem 2 :**

The diameter of a car wheel is 21 inches. Find the circumference of the wheel.

**Solution : **

Radius = Diameter / 2

Radius = 21/2 inches

Use the formula.

C = 2πr

Plug 21/2 for r

C = 2π(21/2)

Plug 22/7 for π

C ≈ 2 x (22/7) x (21/2)

Simplify

C ≈ 2 x (11/1) x (3/1)

C ≈ 66

Hence, the circumference of the wheel is 66 inches.

**Problem 3 :**

Find the diameter, radius, circumference and area of the circle shown below. use 3.14 as an approximation for ∏.

**Solution :**

From the diagram shown above, we can see that the diameter of the circle is

d = 13 - 5 = 8 cm

The radius is one half the diameter. So, the radius is

r = d/2 = 8/2 = 4 cm

Using the formula for circumference, we have

C = 2∏r ≈ 2(3.14)4

C ≈ 25.1 cm

Using the formulas for area, we have

A = ∏r² ≈ (3.14)(4)²

A ≈ 50.24 square cm.

**Problem 4 :**

A biscuit recipe calls for the dough to be rolled out and circles to be cut from the dough. The biscuit cutter has a radius of 4 cm. Find the area of the top of the biscuit once it is cut. Use 3.14 for π.

**Answer :**

**Since the top of the biscuit is in the shape of a circle, we can use area of circle formula to find area of the top of the biscuit. **

**Step 1 : **

Area of a circle = πr²

Radius is given in the question. That is 4 cm.

Plug r = 4 in the above formula.

Area of the circle = π(4)²

**Step 3 :**

Since radius is not a multiple of 7, we can use π ≈ 3.14.

Area of the circle ≈ (3.14) x (4)²

Area of the circle ≈ 3.14 x 16

Area of the circle ≈ 50.24 square cm.

The area of the biscuit is about 50.24 square cm.

After having gone through the stuff given above, we hope that the students would have understood "Finding the area and circumference of a circle worksheet".

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