Find the area of the sector of circle; if it’s radius is 5.2 cm and perimeter is 16.4 cm.
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ʟᴇᴛ ᴀᴏʙ ʙᴇ ᴛʜᴇ sᴇᴄᴛᴏʀ ᴡɪᴛʜ ᴏ ᴀs ᴄᴇɴᴛᴇʀ.
ɢɪᴠᴇɴ: ʀᴀᴅɪᴜs =ʀ=5.2 ᴄᴍ
ᴘᴇʀɪᴍᴇᴛᴇʀ ᴏғ sᴇᴄᴛᴏʀ =16.4 ᴄᴍ
sᴏ, ᴏᴀ+ᴀʙ+ᴏʙ=16.4
⇒5.2+5.2+ᴀʙ=16.4
⇒ᴀʙ=6 ᴄᴍ
ᴀʀᴇᴀ ᴏғ sᴇᴄᴛᴏʀ =1 / 2ʀʟ
=1 / 2 ×5.2×6
=15.6 ᴄᴍ2
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Answered by
5
Answer:
15.6 cm² Ans.
Step-by-step explanation:
Let AOB be the given sector.
Given,
Radius of circle r = 5.2 cm
Perimeter of sector AOB = 16.4 cm
So, OA+OB + Arc AB = 16.4 cm
5.2 5.2 Arc AB 16.4 cm
Arc AB= 6 cm
I = Arc length AB
= 6 cm
Area of sector AOB = 1/2*r*l
= 1/2* 5.2 x6
= 15.6 cm² Ans.
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