An arched doorway is formed by placing a circular arc on top of a rectangle (see the figure). If the doorway is w = 6 feet wide and the height of the arc above its ends is 1 foot, what is the radius of the circle containing the arc? [Hint: Note that (3, r -1) must satisfy x² + y² = r².]


5 feet

Mathematics

You might also like to view...

Change the given polar coordinates (r, ?) to Cartesian coordinates (x, y).

A. (-7, 0) B. (0, 7) C. (7, 0) D. (0, -7)

Mathematics

Express the weight of 2 pounds (about 0.25 gallons) of water in ounces. ?

A. 320 oz B. 640 oz C. 32 oz D. 24 oz E. none of the above

Mathematics

Write the decimal number in binary form.98 

A. 1100101 B. 1100010 C. 1100110 D. 1100011 E. 1100001

Mathematics

Choose the inequality that best matches the shaded graph.

A. y ? -2x - 2 B. y ? 2x - 2 C. y ? 2x - 2 D. y ? -2x + 2

Mathematics