What is the area of a circle with a diameter of 10 cm? (Use π = 3.14)

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Question: What is the area of a circle with a diameter of 10 cm? (Use π = 3.14)

Options:

Correct Answer: 78.5 cm²

Solution:

Radius = diameter/2 = 10 cm/2 = 5 cm. Area = π × radius² = 3.14 × (5 cm)² = 78.5 cm².

What is the area of a circle with a diameter of 10 cm? (Use π = 3.14)

What is the area of a circle with a diameter of 10 cm? (Use π = 3.14)

Correct Answer: 78.5 cm²

Step 1: Identify the diameter of the circle, which is given as 10 cm.
Step 2: Calculate the radius by dividing the diameter by 2. So, radius = 10 cm / 2 = 5 cm.
Step 3: Use the formula for the area of a circle, which is Area = π × radius².
Step 4: Substitute the value of π (3.14) and the radius (5 cm) into the formula. So, Area = 3.14 × (5 cm)².
Step 5: Calculate (5 cm)², which is 25 cm².
Step 6: Multiply 3.14 by 25 cm² to find the area. So, Area = 3.14 × 25 cm² = 78.5 cm².

Area of a Circle – The area of a circle is calculated using the formula A = π × r², where r is the radius.
Diameter to Radius Conversion – Understanding that the radius is half of the diameter is crucial for calculating the area.