दो जीवा AB तथा AC की लम्बाई 8 cm तथा 6cm है तथा `angleBAC=90^(@)` , तब वृत्त की त्रिज्या ज्ञात करे?

Options

A. 25 cm
B. 20 cm
C. 4 cm
D. 5 cm

Answer

D

Explanation

According to question,

In `DeltaBAC`
`angleA=90^(@)`
`therefore BC^(2)=AB^(2)+AC^(2)`
`BC^(2)=8^(2)+6^(2)`
`BC^(2)=64+36`
`BC^(2)=100`
BC=10 cm
Here BC is the diameter of a circle. because angle subtended on the arc of semi circle is `90^(@)`
`therefore (BC)/2`= radius =10/2=5cm`