A circular garden has a diameter of 10 m. What is the area of the garden? (Use π

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Question: A circular garden has a diameter of 10 m. What is the area of the garden? (Use π = 3.14)

Options:

Correct Answer: 78.5 m²

Solution:

Radius = diameter/2 = 5 m. Area = πr² = 3.14 × 5² = 78.5 m².

A circular garden has a diameter of 10 m. What is the area of the garden? (Use π = 3.14)

A circular garden has a diameter of 10 m. What is the area of the garden? (Use π = 3.14)

Step 1: Identify the diameter of the circular garden, which is given as 10 meters.
Step 2: Calculate the radius by dividing the diameter by 2. So, radius = 10 m / 2 = 5 m.
Step 3: Use the formula for the area of a circle, which is Area = π × r².
Step 4: Substitute the value of π (3.14) and the radius (5 m) into the formula: Area = 3.14 × (5 m)².
Step 5: Calculate (5 m)², which is 25 m².
Step 6: Multiply 3.14 by 25 m² to find the area: Area = 3.14 × 25 = 78.5 m².

Circle Geometry – Understanding the properties of circles, including the relationship between diameter, radius, and area.
Area Calculation – Applying the formula for the area of a circle (A = πr²) using the correct value of π.