Question

AB and CD are two parallel organisms in a P concentric circle. Center P is between AB and CD. If AB = 48 cm, CD = 40 cm and the radius of the circle is 25 cm, find the distance between AB and CD. ​

Answer 1

Answer:

Do your self because you are not going to the world is not going to be a great day

Answer 2

Answer: Since the perpendicular from the center of a circle to a chord bisect the chord.

AB=2LB

LB=5cm

CD=2MD

MD=12cm

In angle OLB,

[OB]²=[OL]²+[LB]²

[r]²=x²+[5]²

r²=x²+25

In angle OMD

[OD]²=[OM]²+[MD]²

r²=[17-x]²+[12]²

r²=[17-x]²+144

From equation 1 and 2 we get

x²+25=[17-x]²+144

x²+25=289+x²-34x+144

x²25=x²-34x+433

Cut xx

x=12

From equation r²=x²+25

r²=[12]²+25

144+25

r²=169

r=13cm