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The chemistry teacher decides to use chalk paint to cover a circular portion of a wall in the science lab. If the greatest distance across the circle is is 3 feet, approximately how many square feet will the chalk paint cover?
A) 5 ft²
B) 7 ft²
C) 9 ft²
D) 11 ft²
Answers
Answer:
7 ft^2
Step-by-step explanation:
diameter is the largest distance
therefore
r=1.5 feet
are of circle = πr^2
22/7*1.5*1.5
=7.07 ft^2
therefore we need approximately 7 ft^2 of chalk paint
The chemistry teacher uses approximately B) 7 ft² area on the board.
Given:
The chemistry teacher decides to use chalk paint to cover a circular portion of a wall in the science lab. The greatest distance across the circle is 3 feet.
To find:
Approximately how many square feet will the chalk paint cover?
Solution:
From the data,
The greatest distance across the circle is 3 feet
This implies the diameter of the circle is 3 feet
Since the radius of the circle = diameter/2
Radius of the circle portion = 3ft/2 = 1.5 ft
Using the formula,
Area of circle = πr²
Area of the circle portion = π(1.5)² = 7.07 ft
Therefore,
The chemistry teacher uses approximately B) 7 ft² area on the board.
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