What is the area of a circle with a diameter of 16 cm? (Use π = 3.14) (2022)

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Question: What is the area of a circle with a diameter of 16 cm? (Use π = 3.14) (2022)

Options:

Correct Answer: 201.06 cm²

Exam Year: 2022

Solution:

Radius = diameter/2 = 16 cm / 2 = 8 cm. Area = πr² = 3.14 * 8² = 201.06 cm².

What is the area of a circle with a diameter of 16 cm? (Use π = 3.14) (2022)

What is the area of a circle with a diameter of 16 cm? (Use π = 3.14) (2022)

Step 1: Identify the diameter of the circle, which is given as 16 cm.
Step 2: Calculate the radius by dividing the diameter by 2. So, radius = 16 cm / 2 = 8 cm.
Step 3: Use the formula for the area of a circle, which is Area = πr².
Step 4: Substitute the value of π (3.14) and the radius (8 cm) into the formula: Area = 3.14 * (8 cm)².
Step 5: Calculate (8 cm)², which is 64 cm².
Step 6: Multiply 3.14 by 64 cm² to find the area: Area = 3.14 * 64 = 201.06 cm².

Area of a Circle – The area of a circle is calculated using the formula A = πr², where r is the radius.
Diameter to Radius Conversion – Understanding that the radius is half of the diameter is crucial for calculating the area.