Construct two chords of length 6 cm and 7 cm on either sides of the centre of a circle of - Maths -

Question

Construct two
chords of length 6 cm and 7 cm on either sides of the centre of a
circle of radius 4 5 cm Measure the distance between the centre and
the chords

Global Expert · Accepted Answer

Radius of the
circle = 4 5 cm
Length of the
first chord = 6 cm
Length of the
second chord = 7 cm
<img align="bottom" alt="" border="0" height="175" name=
"graphics2" src=
"https://img-nm%20mnimgs%20com/img/study_content/iit_pretests/9/10/141/1357//Ex%207%201_Lang_html_m6892abf5%20png"
width="195" id="graphics2">
To construct
the circle and the chords, the steps below need to be
followed:
1 Draw a
circle of radius 4 5 cm with centre O
2 Take two
points A and C on the circle
3 With points
A and C as the centers and radii 6 cm and 7 cm respectively, draw
arcs that cut the circle at points B and D
4 Join A and
B, and C and D
5 Mark the
midpoints of AB and CD as M and N
6 Join OM and
ON
Thus, AB and
CD are chords of lengths 6 cm and 7 cm respectively and the
approximate distances between the centre O and chords AB and chords
CD are 3 5 cm and 2 8 cm respectively

Construct two chords of length 6 cm and 7 cm on either sides of the centre of a circle of radius 4.5 cm. Measure the distance between the centre and the chords.