Activity C: Directions: Refer to the given figure below. Give the correct answer to each question. Given: O AMOR M 1. AM ~ R o 2.Z RAM 3. MO = 20cm, how long is AR? 4. m2 ARO = 1250 what is mZ ROM? 5. What is the perimeter of O AMOR if AR = 5cm and RO = 12cm?
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Answer:
let Ao=r ⇒ diameter of AOQ=r ⇒ radius =
2
r
& radius of AOB=r
⇒
r
↑
OB
+
2
2π(
2
r
)
↑
AOQ
+
2
2π(r)
↑
AOB
=40
⇒ r+
2
πr
+πr=40
⇒ r(1+
2
3π
+πr)=40
⇒ r=
1+
2
3π
40
Area =
2
π(
2
r
)
2
+
2
πr
2
=
2
πr
2
(
4
1
+1)
=
4
5
×
2
πr
2
=
8
5π
×
(2+3π)
2
1600
×4
=
(2+
7
66
)
2
4000π
=
(80)
2
4000×
7
22
×49
=96.25 cm
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