What is the area of the largest square inscribed in a circle of radius 12cm?
Answers
Answered by
124
each diagonal of the largest square
= diameter of the circle
= 12 x 2
= 24
let side of square be a
now
root(2) a = 24
a = 24 / root(2)
area of the largest square
= a^2
= {24 / root(2) }^2
= 576/2
= 288
= diameter of the circle
= 12 x 2
= 24
let side of square be a
now
root(2) a = 24
a = 24 / root(2)
area of the largest square
= a^2
= {24 / root(2) }^2
= 576/2
= 288
Astrid1:
24 i.e the diamete of the circle is the diagonal of the sq ..each side of sq is (12)^1/2 ...so area is sq of that i.e 12
Answered by
8
Answer:
288 cm2
Step-by-step explanation:
each diagonal of the largest square
= diameter of the circle
= 12 x 2
= 24
let side of square be a
now
root(2) a = 24
a = 24 / root(2)
area of the largest square
= a^2
= {24 / root(2) }^2
= 576/2
= 288 cm2
hope this helps
Similar questions