Can someone help me find the area of the shaded region? is it just the area of the circle?
1 answer:
The shaded region is the area of the circle minus the area
of the pentagon.
A circle = pi * r^2
A circle = pi * 15^2
A circle = 706.5 cm^2
A regular pentagon = (a * p)/2 where a is the apothem, p is the perimeter.
The apothem id the perpendicular height from the midpoint of a side to the center of the pentagon.
To find the apothem you have to use a trig ratio.
A pent = (8.3 * 12*5)/2
A pent = 249 cm^2
Shaded region: circle - pentagon 706.5 - 249 = 457.5
of the pentagon.
A circle = pi * r^2
A circle = pi * 15^2
A circle = 706.5 cm^2
A regular pentagon = (a * p)/2 where a is the apothem, p is the perimeter.
The apothem id the perpendicular height from the midpoint of a side to the center of the pentagon.
To find the apothem you have to use a trig ratio.
A pent = (8.3 * 12*5)/2
A pent = 249 cm^2
Shaded region: circle - pentagon 706.5 - 249 = 457.5
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<h2>Greetings!</h2>
<h2>Hope this helps!</h2>
Answer:
{x | x > -4}
Step-by-step explanation:
The direction of the < or > sign only changes when numbers are multiplied or divided by negatives.
Because to simplify 9x > -36 you only need to divide by 9, the sign stays the same and the numbers are simply divided:
x > -4
So the solutuon set would be:
<h3>{x | x > -4}</h3><h2>Hope this helps!</h2>