Martinez Olson
06/20/2024 · High School
1. A circle cutout is cut from a square of 28 cm . Calculate the area of the remaining paper?
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Step-by-step Solution
To find the area of the remaining paper after a circle cutout is cut from a square of 28 cm, we need to calculate the area of the square and then subtract the area of the circle.
Given:
- Side length of the square = 28 cm
1. Calculate the area of the square:
\[ \text{Area of square} = \text{side length} \times \text{side length} \]
2. Calculate the area of the circle:
\[ \text{Area of circle} = \pi \times \text{radius}^2 \]
3. Subtract the area of the circle from the area of the square to find the area of the remaining paper:
\[ \text{Area of remaining paper} = \text{Area of square} - \text{Area of circle} \]
Let's calculate the area of the remaining paper.
Calculate the value by following steps:
- step0: Calculate:
\(28\times 28-\pi \times 14^{2}\)
- step1: Multiply the numbers:
\(784-\pi \times 14^{2}\)
- step2: Multiply the terms:
\(784-196\pi \)
The area of the remaining paper after a circle cutout is cut from a square of 28 cm is approximately 168.25 cm².
Quick Answer
The area of the remaining paper is approximately 168.25 cm².
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