Math Problem (Areas)

[k.rotelli]

A rectangle’s dimensions are 12 cm and 16 cm. What is the area of the circle circumscribed about the rectangle?
A: 192n cm2
B: 100n cm2
C: 400n cm2
D: 400 cm2
E: 100 cm2

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[Juliette]

Hi!

The circle is circumscribed meaning it touches each vertex of the rectangle
The diagonal is also the diameter of the circle in this case
d² = 12² + 16²
d = 20
r = 10

A = pi * r² = pi * 100

Hope this helps!