F5 Maths

2010-12-07 11:35 pm

In the figure, OABC is a quarter of a circle that touches PQ at B. If PQ = 25 cm and OP = 20 cm, then AP =

Ans: 8 cm
Show me the step please

圖片參考：http://imgcld.yimg.com/8/n/HA00962128/o/701012070050113873422950.jpg

回答 (1)

myisland8132

2010-12-07 11:44 pm

✔ 最佳答案

Obviously OQ=15 cm. The key point is to find the radius of the circle (OA or OB). Notice that OB is prependicular to PQ and consider the area of triangle OPQ, we have OP*OQ=PQ*OB=>20*15=25OB=>OB=12

So AP=20-12=8 cm

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