What is the square root of 4?
2 answers:
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Refer to the diagram below. We need to find the areas of the green and blue regions, then subtract to get the area of the orange track only.
The larger green region is composed of a rectangle of dimensions 200 meters by 4+42+4 = 50 meters, along with two semicircles that combine to make a full circle. This circle has radius 25 meters.
The green rectangle has area 200*50 = 10000 square meters. The green semicircles combine to form an area of pi*r^2 = pi*25^2 = 625pi square meters. In total, the full green area is 10000+625pi square meters. I'm leaving things in terms of pi for now. The approximation will come later.
The blue area is the same story, but smaller dimensions. The blue rectangle has dimensions 200 meters by 42 meters, so its area is 200*42 = 8400 square meters. The blue semicircular pieces combine to a circle with area pi*r^2 = pi*21^2 = 441pi square meters. In total, the blue region has area 8400+441pi square meters.
After we figure out the green and blue areas, we subtract to get the orange region's area, which is the area of the track only.
orange area = (green) - (blue)
track area = (10000+625pi) - (8400+441pi)
track area = 10000+625pi - 8400-441pi
track area = (10000-8400) + (625pi - 441pi)
track area = 184pi + 1600 is the exact area in terms of pi
track area = 2178.05304826052 is the approximate area when you use the pi constant built into your calculator. If you use pi = 3.14 instead, then you'll get 2177.76 as the approximate answer. I think its better to use the more accurate version of pi. Of course, be sure to listen/follow your teachers instructions.
The value of 15.0 N in pounds = 3.375 lb
<h3><em>Further explanation </em></h3>
The derivative magnitude is a quantity derived from the principal amount
7 main quantities have been determined based on international standards, namely:
- 1. Length, meters (m)
- 2. Time, second (s)
- 3. Mass, kilograms (kg)
- 4. Temperature, kelvin (K)
- 5. Light intensity, candela (cd)
- 6. Electric current, ampere (A)
- 7. Amount of substance, mol (m)
Newton (N) is one unit of force (F) which is a quantity derived from mass (m), length (l) and time (s)
Newton can be expressed in terms of Kg m / s²
Formula used:
F = m. a
N = kg. m / s²
In the British system there are units of slug, feet, and pounds so that the unit of force becomes:
F = m. a
Lb = slug. ft / s²
The relationship between the two-unit systems above is:
1 kg = 0.0685 slug
1 slug = 14.59 kg
1 newton = 0.225 lb
1 lb = 4,448 newtons
1 ft = 0.3048 m
So if we change 15 N to lb by using slug and ft
15 N = 15 * (1 / 14.59) slug * (1 / 0.3048) ft / s²
15 N = 3,375 slug ft / s ²
15 N = 3,375 lb
or we convert directly:
15 N = 15 * 0.225 lb
15 N = 3,375 lb
<h3><em>Learn more </em></h3>
yard conversion
the quantity 0.0075 meters expressed in centimeters
A vineyard has 145 acres of Chardonnay grapes
Keywords: slug, Newton, feet, kg, pound
