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Yes, it is linear in r.
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What is the radius if area equals 289 pi?
Recall the equation A = pi * r^2. You've given the information that A = 289 pi. Now, simply solve the equation for r: A = pi * r^2 289 pi = pi * r^2 289 = r^2 sqrt(289) = r 17 = r
Can the circumference and the area of a circle both have the same answer?
C=2(pi)r A=(pi)r2 If C=A, then 2(pi)r=(pi)r2. Divide both sides by r: 2(pi)=(pi)r. Divide both sides by (pi): 2=r. Therefore, if the radius of a circle is 2 ft., the circumference is 2 sq. ft.
What is the radius of a circle with circumference of 8 inches?
C = 2*pi*r 8 = 2*pi*r 4 = pi*r r = 4/pi
What is the formula for the lateral surface area of a cylinder?
2(pi r 2) + (2 pi r)* h
The circumference of a circle is 60 pi cm what is the radius of the circle?
let c bet the circumference and r be the radius. c = 2 pi r since c is 60 pi 60pi = 2 pi r divide both sides by 2 pi 30 = r
Is the equation 2 pi r the circumference of a circle linear?
Yes it is. Linear simply means that the degree (or number of powers) of the variable is 1. In this case the variable is the radius "r" and it occurs to the first power ... so the equation C=2 times pi times r is linear in r. Ralph the triangle
What is the area of a circle with a circumference of 25.12 cm?
The circumference of a circle: C = 2(pi)r The area of a circle: A = (pi) r^2 C = 25.12 cm 2(pi)r = 25.12 cm r = 25.12/[2(pi)] r = 12.56/pi r^2 = 157.7536/pi^2 So, A = (pi)r^2 A = (pi)(157.7536/pi^2) A = 157.7536/pi A = 50.22 cm^2 (approximately)
What if you had a radius of 18 what is your area and circumference?
Radius = r = 18Area = Pi x r2 = Pi x 324 (= approximately 1018 square units)Circumference = Pi x 2 x r = Pi x 36 (= approximately 113 linear units)
How do you calculate the surface area to volume ratio of a cylinder?
Surface Area = 2*pi*(r^2) + 2*pi*r*hVolume = pi*(r^2)*hFor a cylinder with a radius of r and a height of h.The ratio then is:[ 2*pi*(r^2) + 2*pi*r*h ] / [ pi*(r^2)*h ] =(2/h) + (2/r) =2*{ (1/h) + (1/r) }
The girth plus length of parcels sent by fourth-class mail may not exceed 108 inches What is the largest volume of a cylindrical parcel that can be sent by fourth-class mail?
girth = 2PI r height=h h+2 PI r =108 h=108-2 PI r Volume = PI r^2 h V = PI r^2 (108-2PI r) Differentiate with respect to r dV/dr = PI (2r) (108-2PI r) +PI r^2 (-2PI) =0 216 PI r -4 PI^2 r^2 -2 PI^2 r^2=0 216 PI r -6 PI ^2 r^2=0 PI r [ 216-6 PI r] =0 6 PI r = 216 r = 36/PI --- dimensions h = (108-2 PI (36/PI)) = 108 -72=36 -- dimensions Largest volume = PI r^2 h = PI (36/PI)^2 (36) =1,296 / PI d^2V/dr^2 =216 PI -6 PI^2 (2r) when r=36/PI, d^2V/dr2 = 216 PI - 6PI^2 (2)(36)/PI =216 PI -432 PI < 0, indicates V has been maximized.
How do you find the are of the base of a cylinder?
SA=2(pi times r squared) + h(pi 2 r) or (easier way) 2 pi r squared + 2 pi r h
What is the area of a circle with a circumference of 37.68?
Since circumference of a circle is C = 2*pi*r where r is the radius, we know that 37.68 = 2*pi*r, so r = 37.68/(2*pi). Thus, we know that the area of the circle is A = pi*r^2 = pi*(37.68/(2*pi))^2, or 112.983.
What is the radius if area equals 289 pi?
Recall the equation A = pi * r^2. You've given the information that A = 289 pi. Now, simply solve the equation for r: A = pi * r^2 289 pi = pi * r^2 289 = r^2 sqrt(289) = r 17 = r
How do you solve v equal pi r square h solve for h?
V = pi*(r^2)*h is the formula for the volume of a cylinder. In order to solve for 'h' (or the height), do the following:V = pi*(r^2)*h --> divide both sides of the equation by pi*(r^2) to get rid of pi*(r^2) on the right side of the equation.V/(pi*(r^2)) = (pi*(r^2)*h)/(pi*(r^2)) --> cancel out the common term (pi*(r^2)) in the right side of the equation.You are left with the original equation in terms of 'h':h = V/(pi*(r^2))
What is the formula for a cylinder?
2*pi*r2 x 2*pi*rhx=timedSurface Area of a Cylinder = 2 pi r 2 + 2 pi r h Volume of a Cylinder = (2 pi r 2) height
S equals 2пrh plus 2пr2 solve for h?
S = 2 pi r h + 2 pi r2S - 2 pi r2 = 2 pi r hh = (S - 2 pi r2) / (2 pi r)
Can the circumference and the area of a circle both have the same answer?
C=2(pi)r A=(pi)r2 If C=A, then 2(pi)r=(pi)r2. Divide both sides by r: 2(pi)=(pi)r. Divide both sides by (pi): 2=r. Therefore, if the radius of a circle is 2 ft., the circumference is 2 sq. ft.
