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A circle has an area of 154 cm². What is the radius? (2019)
A circle has an area of 154 cm². What is the radius? (2019)
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Practice Questions
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Q1
A circle has an area of 154 cm². What is the radius? (2019)
7 cm
14 cm
21 cm
28 cm
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Area = πr². Therefore, r = √(Area/π) = √(154/3.14) ≈ 7 cm.
Questions & Step-by-step Solutions
1 item
Q
Q: A circle has an area of 154 cm². What is the radius? (2019)
Solution:
Area = πr². Therefore, r = √(Area/π) = √(154/3.14) ≈ 7 cm.
Steps: 7
Show Steps
Step 1: Write down the formula for the area of a circle, which is Area = πr².
Step 2: We know the area is 154 cm², so we can set up the equation: 154 = πr².
Step 3: To find r², we need to isolate it. Divide both sides by π: r² = 154/π.
Step 4: Use the approximate value of π, which is 3.14. So, r² = 154/3.14.
Step 5: Calculate 154 divided by 3.14, which is approximately 49.04.
Step 6: Now, to find r, take the square root of 49.04: r = √49.04.
Step 7: The square root of 49.04 is approximately 7 cm.
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