Custom drapes are being fitted for a large circular window. It is difficult to get these measurements, but the window has an 8 ft horizontal shelf with a 2 ft brace that sits in the frame. If the brace is extended upward, it would go through the center of the shelf and the circle. What is the diameter of the window?

Question

Samson Hayden

Mathematics

4 March, 17:13

Custom drapes are being fitted for a large circular window. It is difficult to get these measurements, but the window has an 8 ft horizontal shelf with a 2 ft brace that sits in the frame. If the brace is extended upward, it would go through the center of the shelf and the circle. What is the diameter of the window?

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Gia Bishop · Answer 1

Using the intersecting chords theorem, which states that A x B = C x D, we multiply 4 times 4 which equals 16. We then divide that by 2x which yields 8. So 2+8=10 so the diameter is 10.