Question

8.(1) Four equal circles, each of radius ‘a' touch one another. Find the area between them

(ii) Four equal circles are described about the four corners of a square so that each circle
touches two of the others. Find the area of the space enclosed between the circumferences
of the circles, each side of the square measuring 24 cm.​

Answer 1

ɢʀᴀᴠɪᴛᴀᴛɪᴏɴ ɪs ᴛʜᴇ ғᴏʀᴄᴇ ᴛʜᴀᴛ ᴘᴜʟʟs ᴛᴡᴏ ᴍᴀssᴇs ᴛᴏᴡᴀʀᴅ ᴇᴀᴄʜ ᴏᴛʜᴇʀ. Bᴇʟɪᴇᴠᴇ ɪᴛ ᴏʀ ɴᴏᴛ, ᴇᴠᴇʀʏ sɪɴɢʟᴇ ᴘᴀʀᴛɪᴄʟᴇ ᴏғ ᴍᴀᴛᴛᴇʀ ɪɴ ᴛʜᴇ ᴜɴɪᴠᴇʀsᴇ ᴇxᴇʀᴛs ɢʀᴀᴠɪᴛᴀᴛɪᴏɴ ᴏɴ ᴇᴠᴇʀʏ ᴏᴛʜᴇʀ ᴘᴀʀᴛɪᴄʟᴇ. Tʜᴇ ᴛᴇʀᴍs ɢʀᴀᴠɪᴛᴀᴛɪᴏɴ ᴀɴᴅ ɢʀᴀᴠɪᴛʏ ᴀʀᴇ ᴏғᴛᴇɴ ᴜsᴇᴅ ɪɴᴛᴇʀᴄʜᴀɴɢᴇᴀʙʟʏ ғᴏʀ ᴛʜᴇ ᴀᴛᴛʀᴀᴄᴛɪᴏɴ ʙᴇᴛᴡᴇᴇɴ ᴇᴠᴇʀʏᴛʜɪɴɢ ᴡɪᴛʜ ᴇɴᴇʀɢʏ ᴏʀ ᴍᴀss.