Mathematics: Asquare is circumscribed about a circle with an 8-inch radius, as shown below. what is the area, in square inches, of the region that is inside the square but outside the circle? choices: 16 − 64π 256−8π 64 −16 π 256 −64π

Asquare is circumscribed about a circle with

zulaykaalex

05.01.2022

Option 4. 256 - 64π is the correct option.

Step-by-step explanation:

In the given picture a square is circumscribed about a circle with a side = 2r

where r is the radius of the circle.

Therefore area of the square = (2r)² = 4r² = 4 × 8² = 4 × 64 = 256 in²

Now area of the circle = πr² = π × 8² = 64π in²

Now area of region that is inside the square and outside the circle =

Area of square - area of circle = (256 - 64π) in².

Therefore the answer is (256 - 64π).

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Jacques1b

08.10.2022

15 races

Step-by-step explanation:

The team has competed in 45 and has won 30. So the success rate is:

Success rate is:

$Sccess\ rate=r= \frac{30}{45}*100\\ =66.7\ percent$

We have to find the number of races the team needs to win for 75% success rate

Which means that

$r = \frac{30+x}{45+x} = 0.75\\$

We have to solve the equation for x

$\frac{30+x}{45+x}=0.75\\ 30+x = 0.75(45+x)\\30+x=33.75+0.75x\\x-0.75x=33.75-30\\0.25x=3.75\\x=\frac{3.75}{0.25}\\ x=15$

The team needs to win 15 races to get 75% success rate ..

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