Triangle ABC is an equilateral triangle and O is the center of its inscribed circle. If the area of the circle is 4π cm2, what is the area of triangle ABC?

Area of ABC = 16

Step-by-step explanation:

if Area of Circle is π·r², which in this case equals 4π, then the radius is 2; this gives us the height of the triangle as 4

since it's a 60-60-60 triangle, the height perpendicular to base creates a 30-60-90 triangle, whose sides are in the ratio of 1 : √2 : 2

therefore the entire base is 4√2 + 4√2 or 8√2

A (ΔABC) = 1/2(4) · 8√2  =  16√2

hey seth! : )

i’m not 100% sure, but i think it’s b

hope this ya : p

miss u!

- nicole

answer

a,b, and d

explanation

a reflection angle is more than

but less than;

an angle that measures

is a reflex angle.(true)

an angle that measures less than

is acute.(true)

provided we are considering angles greater or equal to zero.

an acute angle lies in the range.

an obtuse angle is less than 180° but more than 90°

an angle that measures 300° is obtuse (false)

an angle that measures 65° is an acute angle.(true)