Question

Please answer this!!!​

Answer 1

40

Explanation:

A tangent to a circle is perpendicular to the radius intersection by definition. That makes BPC a right triangle at B. BP and PD are both equal (9) because every radius of a circle is equal. So

PC**2 = BP**2 + BC**2 or

41**2 = 9**2 + BC**2

1681 = 81 + BC**2

1681 - 81 = BC**2

1600 = BC**2

40 = BC

Answer 2

`BC=40`

Explanation:

Since AC is a tangent and PB is the raduis

`\angle PBC= 9`

By pythagoras

`PC^(2) =PB^(2) +BC^(2)`

`41^(2) =9^(2) +BC^(2)`

`1681-81=BC^(2)`

`1600=BC^(2)`

`BC=√(1600)`

`BC=40`

OAmalOHopeO