Question: What is the area of a circle with a diameter of 14 cm?
Options:
49π cm²
98π cm²
14π cm²
7π cm²
Correct Answer: 49π cm²
Solution:
Radius = diameter/2 = 14/2 = 7 cm. Area = πr² = π(7)² = 49π cm².
What is the area of a circle with a diameter of 14 cm?
Practice Questions
Q1
What is the area of a circle with a diameter of 14 cm?
49π cm²
98π cm²
14π cm²
7π cm²
Questions & Step-by-Step Solutions
What is the area of a circle with a diameter of 14 cm?
Step 1: Identify the diameter of the circle, which is given as 14 cm.
Step 2: Calculate the radius by dividing the diameter by 2. So, radius = 14 cm / 2 = 7 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(7 cm)².
Step 5: Calculate (7 cm)², which is 49 cm².
Step 6: Multiply by π to find the area. So, Area = 49π 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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