Help me with number one and two
2 answers:
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Diameter of a semi circular garden = 18 feet
Radius of the garden :
Thus, the radius of the semi circular fence = 9 feet
We know that :
Which means, the circumference of Mary's semi circular garden :
(pi value = 3.14)
Thus, the circumference of fence needed for the semi circular garden = 28.26 feet
28.26 can be rounded off to 28.30 and 28.30 is the same as 28.3
Thus, Mary's reasoning is correct.
Therefore, Mary's reasoning is correct which means she needs 28.3 feet of fence to surround her garden.
Answer:
Step-by-step explanation:
Challenging question!
Start by constructing a square in the lower-left quadrant of the circle (that isn't shaded) that is tangent to center C, OP, and OQ:
(See picture)
With the blue line constructed, we can conclude that the blue line (the blue line is the measure from the center of the inscribed circle to the center of the quarter circle) measures due to the Pythagorean theorem.
The orange line is the radius of the inscribed circle, so adding the blue line and the orange line gives the radius of the quarter circle, so:
Solve the equation with a bit of algebra to get:
Now, we will find the area of the inscribed circle:
And we will now find the area of the quarter circle...:
...and we subtract both results...:
To get the area of the shaded region.
Not sure what does the last part ("correct to 3 s. f.") meant but that's all I can do.
