Question: What is the area of a circle with a diameter of 10 cm? (2023)
Options:
25π cm²
50π cm²
75π cm²
100π cm²
Correct Answer: 25π cm²
Exam Year: 2023
Solution:
Radius = diameter/2 = 10/2 = 5 cm. Area = πr² = π(5)² = 25π cm².
What is the area of a circle with a diameter of 10 cm? (2023)
Practice Questions
Q1
What is the area of a circle with a diameter of 10 cm? (2023)
25π cm²
50π cm²
75π cm²
100π cm²
Questions & Step-by-Step Solutions
What is the area of a circle with a diameter of 10 cm? (2023)
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 = πr².
Step 4: Substitute the radius into the formula. So, Area = π(5 cm)².
Step 5: Calculate (5 cm)², which is 25 cm².
Step 6: Multiply by π. So, Area = 25π cm².
Circle Area Calculation – Understanding the formula for the area of a circle, which is A = πr², and knowing how to derive the radius from the diameter.
Diameter to Radius Conversion – The ability to convert diameter to radius by dividing the diameter by 2.
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