FINDING THE AREA OF A CIRCLE WORKSHEET
About "Finding the area of a circle worksheet"
Finding the area of a circle worksheet :
Worksheet on finding area of a circle is much useful to the students who would like to practice problems on circles.
Finding the area of a circle worksheet - Questions
1. Find the area of a circle whose radius is 7 cm.
2. Find the area of a circle whose diameter is 40 inches.
3. 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.
Finding the area of a circle worksheet - Answers
Question 1 :
Find the area of a circle whose radius is 7 cm.
Answer :
Step 1 :
Area of a circle = πr²
Radius is given in the question. That is 7 cm.
Plug r = 7 in the above formula.
Area of the circle = π(7)²
Step 2 :
Since radius is a multiple of 7, we can use π ≈ 22/7.
Area of the circle ≈ (22/7) x (7)²
Simplify
Area of the circle ≈ 22 x 7
Area of the circle ≈ 154 square cm.
Hence, the area of the circle is about 154 square cm.
Question 2 :
Find the area of a circle whose diameter is 40 inches.
Answer :
Step 1 :
Area of a circle = πr²
We know that
Radius = Diameter / 2
Radius = 40/2 = 20 inches
Step 2 :
Plug r = 20 in the above formula.
Area of the circle = π(20)²
Step 3 :
Since radius is not a multiple of 7, we can use π ≈ 3.14.
Area of the circle ≈ (3.14) x (20)²
Area of the circle ≈ 3.14 x 400
Area of the circle ≈ 1256 square in.
Hence, the area of the circle is about 1256 square in.
Question 3 :
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.
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