Option c 50m
What is the theorem of the chord from the center?
When a line passes through the center of the circle to the chord then the line is perpendicular bisector of the same chord which means it divide the chord in equal parts and makes an angle of 90 degrees with the chord.
What is the Pythagoras theorem?
Pythagoras theorem is the theorem used to calculate the hypotenuse in a right-angled triangle from the two legs of the triangle.
hypotenuse² = base²+height².
Solving the problem
Let the center (the point in bold be C) and the point of intersection between QE and TW be R, So CQ is the radius, CR = radius-5.
Let the radius be 'r' so In Triangle CQR using the Pythagoras theorem
r² = (r-5)²+15²
r²-(r-5)²=225
(r-(r-5))(r+r-5) = 225
5.(2r-5)=225
(2r-5)=45
2r - 5 =45
2r=50
r = 25 and diameter is equal to 2*r and hence the diamter is 50.
The diameter in the figure is 50m
Learn more about Properties of Circle here
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