Questions - Nadia Beninigton

Questions/Answers..

Nadia Beninigton

to me

please refer your diagram.

a) Name the point where POB is meeting the circle as Q.

PQB is a secant.

Then as per the theorem on tangent length and secant.we have

PT^2 = PQ*PB

3^2 = PQ*10

PQ=9/10

QB = diameter = 2*radius = PB-PQ=10-9/10 = 91/10

Radius = 91/20 = 4.55

b) Name one secant through center as PQOR where Q and R are the points where the secant meets the circle. Name the other secant as PST, where S and T are the points where the secant meets the circle.

Then as per the above theorem we get

PQ*PR = PS*PT

2*(PQ+QR)=PS(PS+ST)

2(2+diameter)=3(3+4)=21

4+2*2*radius=21

4R=21-4=17

Radius = 17/4 = 4.25