Question

find the area of the largest trapezoid that can be inscribed in a circle of radius 1 and whose base is diameter of circle

Answer 1

Lᴇᴛ ᴛʜᴇ ʜᴇɪɢʜᴛ ᴏғ ᴛʜᴇ ᴛʀᴀᴘᴇᴢᴏɪᴅ ʙᴇ x

$\tt{CF^2 = 1^2 - x^2}$

$CF = \sqrt{ {1}^{2} - {x}^{2} }$

Tʜᴇ sᴍᴀʟʟᴇʀ ʙᴀsᴇ ᴏғ ᴛʀᴀᴘᴇᴢᴏɪᴅ ɪs

$2 \sqrt{ {1}^{2} - {x}^{2} }$

Tʜᴇ ʟᴀʀɢᴇʀ ʙᴀsᴇ ᴏғ ᴛʀᴀᴘᴇᴢᴏɪᴅ ɪs 2

Answer 2

Answer:

Step-by-step explanation: