<h3>Answer: B. 154 square meters</h3>
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Work Shown:
C = 44 is the circumference
in general, the circumference of a circle is
C = 2*pi*r
Plug in C = 44 and solve for r.
C = 2*pi*r
44 = 2*pi*r
2*pi*r = 44
r = 44/(2pi)
r = 7.0028175 which is approximate
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Now plug this into the formula for the area of a circle
A = pi*r^2
A = pi*(7.0028175)^2
A = 154.061985
A = 154 rounding to the nearest whole number
Answer:
A. 162 m²
Step-by-step explanation:
==>Given:
Isosceles trapezoid with:
base a = 19m
base b = 35m
Perimeter = 74meters
==>Required:
Area of trapezoid
==>Solution:
Recall: the length of the legs of an isosceles trapezoid are equal.
Perimeter of isosceles trapezoid = sum of the parallel sides + 2(length of a leg of the trapezoid)
Let l = leg of trapezoid.
Perimeter = 74m
Sum of parallel sides = a+b = 19+35 = 54m
Thus,
74 = 54 + 2(l)
74 - 54 = 2(l)
20 = 2(l)
l = 20/2 = 10m
Let's find area:
Area = ½(a+b)*h
a = 19
b = 35
h = ?
Using Pythagorean theorem, let's find h as follows:
h² = l² - [(35-19)/2)²
h² = 10² - [16/2]²
h² = 100 - 64
h² = 36
h = √36 = 6m
Area = ½ x (a+b) × h
= ½ × (19+35) × 6
= ½ × 54 × 6
= 27 × 6
Area = 162m²
Answer:
-1/2
Step-by-step explanation:
We can find the slope using the slope formula
m = ( y2-y1)/(x2-x1)
= ( -6 - -5)/( -1 - -3)
= ( -6+5)/( -1+3)
=-1/ 2
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Answer:
No, the distance between points A and F was used to create circle H.
Step-by-step explanation:
In the given example the points F and G are the radius of the circle H. The distance from point A to point F is used to draw the circle H. The center point for circle H is point A. The circle is the copied and the angles are used to create another circle.