# Company logo

The company logo consists of a blue circle with a radius of 4 cm, which is an inscribed white square. What is the area of the blue part of the logo?

Result

S =  18.265 cm2

#### Solution:

$r = 4 \ cm \ \\ u = 2 \cdot \ r = 2 \cdot \ 4 = 8 \ cm \ \\ D = u = 8 = 8 \ cm \ \\ \ \\ D^2 = a^2+a^2 \ \\ \ \\ a = D / \sqrt{ 2 } = 8 / \sqrt{ 2 } = 4 \ \sqrt{ 2 } \ cm \doteq 5.6569 \ cm \ \\ \ \\ S_{ 1 } = \pi \cdot \ r ^2 = 3.1416 \cdot \ 4 ^2 \doteq 50.2655 \ cm^2 \ \\ S_{ 2 } = a^2 = 5.6569^2 = 32 \ cm^2 \ \\ \ \\ S = S_{ 1 }-S_{ 2 } = 50.2655-32 \doteq 18.2655 = 18.265 \ cm^2$

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#### Following knowledge from mathematics are needed to solve this word math problem:

Pythagorean theorem is the base for the right triangle calculator.

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