two chords of a circle of length 5cm and 11cm are parallel to each other to the opposite side of the centre. the distance between both the chords is 6cm. find the radius of the circle.
Share
two chords of a circle of length 5cm and 11cm are parallel to each other to the opposite side of the centre. the distance between both the chords is 6cm. find the radius of the circle.
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
AB=5cm. (given)
CD=11m. (given)
EF=6cm (given)
EC and ED are radius.
CF=FD=5.5cm. (by construction)
So in Δ ECF,
EF²+CF²=EC² (by phthogoras theorm)
=> 6²+5.5²=EC²
=> EC²=6²+5.5²
=> EC²= 66.25
=> EC= √66.25
=> EC= 8.1394103cm
As we know EC is radius and it is 8.1394103cm, so radius is 8.1394103cm.
Hope the answer is helpful !!
Good Day !!