A cathedral has a large, circular stained-glass window. A visitor measures the window and calculates that it has a circumference of 18.84 feet. What is the window's area?
Question
A cathedral has a large, circular stained-glass window. A visitor measures the window and calculates that it has a circumference of 18.84 feet. What is the window's area?
Solution
To find the area of the circular window, we first need to find the radius. We know that the formula for the circumference of a circle is C = 2πr, where C is the circumference and r is the radius.
Given that the circumference is 18.84 feet, we can set up the equation:
18.84 = 2πr
To solve for r, we divide both sides of the equation by 2π:
r = 18.84 / (2π) ≈ 3 feet
Now that we have the radius, we can find the area of the circle using the formula A = πr², where A is the area and r is the radius:
A = π(3)² = 9π ≈ 28.27 square feet
So, the area of the window is approximately 28.27 square feet.
Similar Questions
A circular window has a radius of 0.21 m; find the total surface area of the window.Round your answer to the nearest hundredth. Do not type the units in the space below.
A cruise ship has a large, circular window. It has a diameter of 13 m. What is the window's area? (Take π = 3.14 and round your answer to the nearest tenth.)Question 2Select one:a.132.7 m2b.130.9 m2c.131.7 m2d.530.7 m2
The area of a rectangular window is 7315cm2.If the length of the window is 95cm, what is its width?
A window in the shape of a parallelogram has a base of 36 inches and a height of 45 inches. What is the area of the window? Select one:810 sq inhighlight_off324 sq inhighlight_off162 sq inhighlight_off1,620 sq inhighlight_off
Answer the questions below.(a)The area of a rectangular garden is 3657m2.If the width of the garden is 53m, what is its length?Lengthofthegarden:m(b)The perimeter of a rectangular window is 368cm.If the length of the window is 99cm, what is its width?Widthofthewindow:cm
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.