Question

Find the area of the sector!!!​

Answer 1

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✮ Gɪᴠᴇɴ :

↦ Perimeter of sector of the circle is 16.4cm

↦ Radius of the circle is 5.2cm

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✒ Tᴏ Fɪɴᴅ :

↪ Area of the sector

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☯ Sᴏʟᴜᴛɪᴏɴ :

According to the question, Firstly we need to find the length of arc.

Lᴇɴɢᴛʜ ᴏғ ᴛʜᴇ ᴀʀᴄ :

 ⠀→ 5.2 + 5.2 + l = 16.4

 ⠀→ 10.4 + l = 16.4

 ⠀→ l = 16.4 - 10.4

 ⠀→ l = 6cm

Aʀᴇᴀ ᴏғ ᴛʜᴇ sᴇᴄᴛᴏʀ :

 ⠀⇒ Area of sector = ½ r × l

 ⠀⇒ Area of sector = ½ × 5.2 × 6

 ⠀⇒ Area of sector = 5.2 × 3

 ⠀⇒ Area of sector = 15.6

★ ᴛʜᴇ ᴀʀᴇᴀ ᴏғ ᴛʜᴇ sᴇᴄᴛᴏʀ ɪs 15.6 ᴄᴍ²

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