Question

A wall hanging is made of a circular piece of wood 24 inches in diameter. Angela wants to use wire to hang the wall hanging from a nail at point N. The wire will be tangent to the circle and attached at points P and Q. What is the total length of wire needed if the distance from the top of the circle (point R) to the nail is 10 inches? Round to the nearest inch.

Answer 1

Answer:

18 inches

OQ2 + PQ2 = OP2

PQ2 = OP2 - OQ2

= (OR + PR) SQUARE - OQ2

= (24/2 + 10 ) SQUARE - 24/12Square

= 22square - 12square

PQ = Root 340

= 18 inches...

Answer 2

The answer is 18 inches.

What is the total length of wire needed if the distance from the top of the circle (point R) to the nail is 10 inches?

OQ2 + PQ2 = OP2

PQ2 = OP2 - OQ2

= (OR + PR) SQUARE - OQ2

= (24/2 + 10 ) SQUARE - 24/12Square

= 22² - 12²

PQ = √ 340

= 18 inches.

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