Learning Task 2: Solve the following problems and write your 1. The radius of a circle is 9 centimeters. What is the area?
2. The diameter of a circle is 12 inches. What is the area?
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Learning Task 2: Solve the following problems and write your 1. The radius of a circle is 9 centimeters. What is the area?
2. The diameter of a circle is 12 inches. What is the area?
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Answer:
1. The area of a circle with a radius of 9 centimeters can be calculated using the formula A = πr², where A is the area and r is the radius. Substituting the given value, we get:
A = π(9)²
A = π(81)
A ≈ 254.47 square centimeters
Therefore, the area of the circle is approximately 254.47 square centimeters.
2. The area of a circle with a diameter of 12 inches can also be calculated using the formula A = πr². However, since the diameter is given and not the radius, we first need to find the radius by dividing the diameter by 2. Thus:
r = d/2
r = 12/2
r = 6 inches
Now we can use the formula for area:
A = π(6)²
A = π(36)
A ≈ 113.1 square inches
Therefore, the area of the circle is approximately 113.1 square inches.
Answer:
A=πr2=π·92≈254.469cm²
A=14πd2=14·π·122≈113.09734in²