Question

ɪғ ᴛʜᴇ ᴄɪʀᴄᴜᴍғᴇʀᴇɴᴄᴇ ᴏғ ᴀ ᴄɪʀᴄᴜʟᴀʀ sʜᴇᴇᴛ ɪs 154 M ғɪɴᴅ ɪᴛs ʀᴀᴅɪᴜs?

ᴀɴsᴡᴇʀs ᴡɪʟʟ ʙᴇ ᴅᴇʟᴇᴛᴇᴅ ɪғ,
✯ɪʀʀᴇʟᴇᴠᴀɴᴛ ᴀɴsᴡᴇʀ
✯ᴄᴏᴘɪᴇᴅ
✯sᴘᴀᴍᴍᴇᴅ
✯ᴀᴅᴅɪᴛɪᴏɴᴀʟ ɪɴғᴏʀᴍᴀᴛɪᴏɴ ʀᴇϙᴜɪʀᴇᴅ.​
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Answer 1

Area of the circle => π × radius²=154m

or, radius² =154×(7/22)=49 m

or , radius = √(49) = 7m

Radius = 7m

Hope this helps you .

Answer 2

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Also Find the area of the sheet.

$\text{\large\underline{\purple{Solütiõn:-}}}$

• let r be the radius of circular sheet.

circumference of circular sheet = 154 m

$⟹$ $\bold{2π r = 154}$

$⟹$ 2 ×$\dfrac{22}{7}$× r = 154

$⟹$$\bold{ r = 154 ×}$ $\dfrac{1}{2}$ × $\dfrac{7}{22}$

$⟹$ r = $\dfrac{7 × 7}{2}$

$⟹$ r = $\dfrac{49}{2}$⟹$\bold{ r = 24.5m}$

Hence radius of circular sheet is 24.5 m.

area of the circular sheet $\bold{ - π r²}$

= $\dfrac{22}{7}$ $\bold{(24.5)²}$

= $\dfrac{22}{7}$ $\bold{24.5×24.5}$

= $\bold{22×3.5\:× 24.5}$

= $\bold{1886.5\: m².}$

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