Answer:
The side length is 9m
Step-by-step explanation:
A = 81 m^2
Since the figure is a square, we know the area of a square is A = s^2 where s is the side length
81 m^2 = s^2
Take the square root of each side
sqrt(81 m^2 ) = sqrt( s^2)
9 m = s
The side length is 9m
Answer:
112.5 deg
Step-by-step explanation:
First we find the area of the entire circle.
A = pi * r^2
A = pi * (4 m)^2
A = 16pi m^2
The entire circle has area = 16pi m^2.
The sector has area 5pi m^2.
Now we find the fraction the area of the sector is of the entire circle.
fraction = (5pi m^2)/(16pi m^2) = 5/16 = 0.3125
The full circle has a central angle of 360 deg, the entire circle.
The measure of the central angle of the arc of the sector is the same fraction of the entire circle.
measure of sector angle = 0.3125 * 360 deg = 112.5 deg
The Height of the ceiling at the center is 57.6628 feet
In geometry, an ellipse is a two-dimensional shape, that is defined along its axes. An ellipse is formed when a cone is intersected by a plane at an angle with respect to its base.
It has two focal points. The sum of the two distances to the focal point, for all the points in curve, is always constant.
The General form of ellipse is 
According to the question,
Length of whispering gallery is 130 feet
The foci are located 30feet from the center (0,0)
So, 2a = 130
=> a = 130/2
=> a = 65
and c = 30
As we know ,
=> c² = a² - b²
=> (30)² = (65)² - b²
=> 900 = 4225 - b²
=> b² = 4225 - 900
=> b² = 3325
=> b = 57.7 feet
Therefore , the height of the ceiling at the center is 57.6628 feet
To know more about Ellipse here
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The unit price per pen is $0.14.
Explanation :
You simply divide the total by the quantity.
$1.09/8= 0.13625.
Since this has to do with money you round to the nearest hundredth to get $0.14.
Answer:
C = 2 * π * R = 2 * π * 14 = <u>87.9646 cm</u>
Step-by-step explanation:
All this means is that the perimeter, or circumference, is the distance or length around a shape or object. And the area is the amount of space inside the thing.
In today’s geometry lesson, you will review the formulas for finding the area and perimeter of basic geometric shapes.
