EXERCISE 10.4
.
Tive circles of radii 5 cm and 3 cm intersect at two points and the distance between
their centres istem. Find the length of the common chord,
If two equal chords of a circle intersect within the circle, prove that the segments of
ne chond are equal to corresponding segments of the other chord.
If two equal chords of a circle intersect within the circle, prove that the line
joining the point of intersection to the centre makes equal angles with the chords.
If a line intersects two concentric circles (circles
with the same centre) with centre O at A, B, C and
D. prove that AB = CD (see Fig. 10,25).
Three girls Reshma, Salma and Mandip are
playing a game by standing on a circle of radius
179
D
Sm drawn in a park. Reshma throws a ball to
Salma, Salma to Mandip, Mandip to Reshma. If
B
the distance between Reshma and Salma and
derween Salma and Mandip is om each, what is
the distance between Reshma and Mandip?
Fig. 10.25
a A circular park of radius 20m is situated in a colony. Three boys Ankur, Syed and
David are sitting at equal distance on its boundary each having a toy telephone in
his hands to talk each other. Find the length of the string of each phone.
IC С
A
Give me the correct Answers and be the Brainliest!!
Answers
Circles having same Centre are called concentric circles.
The perpendicular from the centre of a circle to a chord bisects the chord.
========================================================
Let a line intersects two concentric circles with Centre O at A, B, C and D.
To Prove:
AB=CD
Construction:
Draw OM perpendicular from O on a line.
Proof:
We know that the perpendicular drawn from the centre of a circle to a chord bisects the chord.
Here,AD is a chord of a larger circle.
OM ⊥ AD is drawn from O.
OM bisects AD as OM ⊥ AD.
AM = MD — (i)
Here, BC is the chord of the smaller circle.
OM bisects BC as OM ⊥ BC.
BM = MC — (ii)
From (i) and (ii),
On subtracting eq i from eq ii
AM – BM = MD – MC
AB = CD
=========================================================
Hope this will help you....
Answer:
EXERCISE 10.4
.
Tive circles of radii 5 cm and 3 cm intersect at two points and the distance between
their centres istem. Find the length of the common chord,
If two equal chords of a circle intersect within the circle, prove that the segments of
ne chond are equal to corresponding segments of the other chord.
If two equal chords of a circle intersect within the circle, prove that the line
joining the point of intersection to the centre makes equal angles with the chords.
If a line intersects two concentric circles (circles
with the same centre) with centre O at A, B, C and
D. prove that AB = CD (see Fig. 10,25).
Three girls Reshma, Salma and Mandip are
playing a game by standing on a circle of radius
179
D
Sm drawn in a park. Reshma throws a ball to
Salma, Salma to Mandip, Mandip to Reshma. If
B
the distance between Reshma and Salma and
derween Salma and Mandip is om each, what is
the distance between Reshma and Mandip?
Fig. 10.25
a A circular park of radius 20m is situated in a colony. Three boys Ankur, Syed and
David are sitting at equal distance on its boundary each having a toy telephone in
his hands to talk each other. Find the length of the string of each phone.
IC С
A
Give me the correct Answers and be the Brainliest!!