Answer: Ok now give me brainliest and thanks please
Step-by-step explanation:
To reshape a circle into a square, you need to consider that the diameter of the circle is also the diagonal of the square. The formula for the side length (s) of a square given its diagonal (d) is [tex]\(s = \frac{d}{\sqrt{2}}\).[/tex]
Given that the diameter of the circle is 20 cm, the side length of the square would be:
[tex]\[ s = \frac{20}{\sqrt{2}} \][/tex]
[tex]To simplify this expression, multiply the numerator and denominator by \(\sqrt{2}\):[/tex]
[tex]\[ s = \frac{20 \cdot \sqrt{2}}{2} \][/tex]
Simplifying further:
[tex]\[ s = 10 \cdot \sqrt{2} \][/tex]
So, the side length of the square is \(10 \cdot \sqrt{2}\) cm. If you need the area of the square, you can square this side length:
Answers & Comments
Answer:
I tried my best.. :)
Step-by-step explanation:
To reshape a circle into a square, we need to find out the dimensions of the square that has the same area as the given circle.
The formula for the area of a circle is A = πr², where A is the area and r is the radius.
Given that the circle has a diameter of 20 cm, we can find the radius by dividing the diameter by 2:
Radius (r) = Diameter / 2 = 20 cm / 2 = 10 cm
Now, let's calculate the area of the circle:
A = πr² = π(10 cm)² = 100π cm²
To reshape the circle into a square with the same area, we need to find the side length of the square.
The formula for the area of a square is A = s², where A is the area and s is the side length.
Since the area of the square needs to be equal to 100π cm² , we can set up the equation:
100π cm² = s²
To solve for s, we can take the square root of both sides:
s = √(100π cm²) ≈ 17.8 cm
Therefore, the dimensions of the square are approximately 17.8 cm by 17.8 cm.
Verified answer
Answer: Ok now give me brainliest and thanks please
Step-by-step explanation:
To reshape a circle into a square, you need to consider that the diameter of the circle is also the diagonal of the square. The formula for the side length (s) of a square given its diagonal (d) is [tex]\(s = \frac{d}{\sqrt{2}}\).[/tex]
Given that the diameter of the circle is 20 cm, the side length of the square would be:
[tex]\[ s = \frac{20}{\sqrt{2}} \][/tex]
[tex]To simplify this expression, multiply the numerator and denominator by \(\sqrt{2}\):[/tex]
[tex]\[ s = \frac{20 \cdot \sqrt{2}}{2} \][/tex]
Simplifying further:
[tex]\[ s = 10 \cdot \sqrt{2} \][/tex]
So, the side length of the square is \(10 \cdot \sqrt{2}\) cm. If you need the area of the square, you can square this side length:
[tex]\[ \text{Area of Square} = (10 \cdot \sqrt{2})^2 = 200 \, \text{cm}^2 \][/tex]
[tex]Therefore, the dimensions of the square are \(10 \cdot \sqrt{2}\) cm by \(10 \cdot \sqrt{2}\) cm, and the area is 200 square centimeters.[/tex]