In the figure given below, Point O is the centre of the circle. From Point R, seg RM and seg RN are tangent segments touching the circle at points M and N respectively. If length OR = 10 cm and radius of the circle = 5 cm then determine the values of angle MON
Attachments:
Answers
Answered by
1
Answer:
∠OMR=∠ONR=90
o
OM=5 cm OR=10cm
OR
2
=OM
2
+MR
2
MR=
OR
2
−OM
2
=
10
2
−5
2
=5
3
cm
(2) in right △OMR
tan∠MRO=
MR
OM
tan∠MRO=
5
3
cm
5 cm
=
3
1
(3) ∠MRO=30
o
∠MRN=∠MRO+∠NRO=30
o
+30
o
=60
∠MRN=60
o
Step-by-step explanation:
Similar questions