8th Class
Mathematics
Practical Geometry
Question Bank
Geometry
question_answer
Two parallel chords on the same side of the centre of a circle are 10 cm and 24 cm long and their distance apart is 7 cm. The radius of the circle is
A)13cm
B)8cm
C)5cm
D)7cm
Correct Answer:
A
Solution :
AP = 12cm and CQ=5cm. AB = 24 cm and CD= 10 cm. Since, the perpendicular to the chord bisects the chord. In \[\angle BDC={{25}^{o}}\] In \[\angle BDC\] Subtracting, we have, \[{{85}^{o}}\] \[{{120}^{o}}\] \[{{115}^{o}}\] \[{{95}^{o}}\] or \[\angle PAD={{30}^{o}}\] \[\angle CPA={{45}^{o}}\] or \[\angle CBP\] or \[{{105}^{o}}\] or \[{{115}^{o}}\]. \[{{135}^{o}}\] or \[\Delta ABC\], i.e., Radius = 13cm.