A cake has circumference of 2517
inches. What is the area of the cake? Use 227
to approximate π. Round to the nearest hundredth. Enter your answer in the box.
First, we can use the formula for circumference to solve for the radius of the cake:
C = 2πr
2517 = 2(227)r
r = 2517/454
r ≈ 5.54
Now that we know the radius, we can use the formula for area to find the area of the cake:
A = πr^2
A = 227(5.54)^2
A ≈ 4215.95
Rounded to the nearest hundredth, the area of the cake is 4215.95 square inches.
Are you sure????
I apologize, I made an error in my previous calculation. To the correct answer is:
The radius is:
2517 = 2 x 227 x r
2517 = 454 x r
r = 2517/454
r ≈ 5.54
So, the area of the cake is:
A = πr^2
A = 227 x (5.54)^2
A = 4237.77
Rounded to the nearest hundredth, the area of the cake is approximately 4237.77 square inches. I apologize again for any confusion I may have caused.
A basketball team wants to paint half of a free-throw circle grey. If the circumference of the free-throw circle is 30.77 feet, what is the area that will be painted grey? Use 3.14 for π, and round to the nearest square foot. Enter your answer in the box.
The formula for the circumference of a circle is:
C = 2πr
where r is the radius of the circle. We can solve this equation for r:
r = C / (2π)
Plugging in the given circumference, we get:
r = 30.77 / (2 x 3.14) ≈ 4.90 feet
The formula for the area of a circle is:
A = πr^2
Plugging in the calculated radius, we get:
A = 3.14 x (4.90)^2 ≈ 75.22 square feet
Half of the free-throw circle would cover approximately half of the area, so the area to be painted grey would be:
75.22 / 2 ≈ 37.61 square feet
Rounded to the nearest square foot is approximately 38 square feet. Thus, the area that will be painted grey is approximately 38 square feet.
To find the area of a cake, we need the radius. The formula to find the radius of a circle given the circumference is:
C = 2πr
Where C is the circumference and r is the radius.
Let's substitute the given circumference:
2517 = 2(227)r
Now, let's solve for r:
2517 = 454r
Divide both sides by 454:
r ≈ 5.54
Now that we have the radius, we can find the area using the formula:
A = πr^2
Substitute the value of π as 227:
A = 227 * (5.54)^2
Calculating the squared value of 5.54:
A ≈ 227 * 30.6316
A ≈ 6958.55
Rounding to the nearest hundredth:
A ≈ 6958.56
Therefore, the area of the cake is approximately 6958.56 square inches.
To find the area of the cake, we can use the formula: A = πr^2, where A is the area, π is approximately 3.14, and r is the radius of the cake.
Given that the circumference of the cake is 2517 inches, we can use the formula for circumference of a circle: C = 2πr, where C is the circumference and π is approximately 3.14.
Since we know the circumference, we can rearrange the formula to solve for the radius: r = C / (2π).
Substituting the given values, we have: r = 2517 / (2 * 3.14).
Calculating this, we find: r ≈ 2517 / 6.28 ≈ 401.75.
Now that we have the radius, we can use the formula for the area of a circle: A = 3.14 * (r^2).
Substituting the value of the radius, we get: A = 3.14 * (401.75^2).
Calculating this, we find: A ≈ 502,519.84 square inches.
Rounding to the nearest hundredth, the area of the cake is approximately 502,519.84 square inches.