Question

find the area of the shaded design in figure, where ABCD is a square of side 10cm and semicircles are drawn witb each side of the square as diameter. (use π=3.14)

Answer 1

Hope you are able to understand

:-)

Answer 2

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⎟⎟ ✪✪ ＱＵＥＳＴＩＯＮ ✪✪⎟⎟

Fɪɴᴅ ᴛʜᴇ ᴀʀᴇᴀ ᴏғ ᴛʜᴇ sʜᴀᴅᴇᴅ ᴅᴇsɪɢɴ ɪɴ Fɪɢᴜʀᴇ, ᴡʜᴇʀᴇ ABCD ɪs ᴀ sqᴜᴀʀᴇ ᴏf sɪᴅᴇ 10ᴄᴍ ᴀɴᴅ sᴇᴍɪᴄɪʀᴄʟᴇs ᴀʀᴇ ᴅʀᴀᴡɴ ᴡɪᴛʜ ᴇᴀᴄʜ sɪᴅᴇ ᴏf ᴛʜᴇ sϙᴜᴀʀᴇ ᴀs ᴅɪᴀᴍᴇᴛᴇʀ.

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⎟⎟ ✪✪ ＡＮＳＷＥＲ ✪✪⎟⎟

★ Lᴇᴛ ᴜs ᴍᴀʀᴋ ᴛʜᴇ ғᴏᴜʀ ᴜɴsʜᴀᴅᴇᴅ ʀᴇɢɪᴏɴs ᴀs 1, 2, 3 ᴀɴᴅ 4. ★

ᴀʀᴇᴀ ᴏғ 1 + ᴀʀᴇᴀ ᴏғ 3 = ᴀʀᴇᴀ ᴏғ ᴀʙᴄᴅ - ᴀʀᴇᴀs ᴏғ ᴛᴡᴏ sᴇᴍɪᴄɪʀᴄʟᴇs ᴡɪᴛʜ ʀᴀᴅɪᴜs 5 ᴄᴍ .

⇒ 10 × 10 - 2 × 1/2 × π × 5^2

⇒ 100 - 3.14 × 25

⇒ 100 - 78.5 = 21.5 cm^2

sɪᴍɪʟᴀʀʟʏ, ᴀʀᴇᴀ ᴏғ 2 + ᴀʀᴇᴀ ᴏғ 4 = 21.5 ᴄᴍ^2

sᴏ, ᴀʀᴇᴀ ᴏғ ᴛʜᴇ sʜᴀᴅᴇᴅ ʀᴇɢɪᴏɴ

= ᴀʀᴇᴀ ᴏғ ABCD - ᴀʀᴇᴀ ᴏғ ᴜɴsʜᴀᴅᴇᴅ ʀᴇɢɪᴏɴ

= 100 - 2 × 21.5

= 100 - 43

= 57

.°. ᴛʜᴇ ᴀʀᴇᴀ ᴏғ ᴛʜᴇ sʜᴀᴅᴇᴅ ʀᴇɢɪᴏɴ = 57 cm^2

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