How fast is the radius of the semicircle increasing

Reference no: EM13195291

An Isosceles triangle is inscribed in a semicircle, as shown in the diagram, and it continues to be inscribed as the semicircle changes size. The area of the semicircle is increasing at the rate of 1 cm^2/sec when the radius of the semicircle is 3 cm.

a) How fast is the radius of the semicircle increasing when the radius is 3 cm? Include units in your answer
b) How fast is the perimeter of the semicircle increasing when the radius is 3 cm? Include units in your answer
c) How fast is the area of the isosceles triangle increasing when the radius is 3 cm? Include units in your answer.
d) How fast is the shaded region increasing when the radius is 3 cm? Include units in your answer.

Reference no: EM13195291

Questions Cloud

Analyze the structure of the variable rate debt : How useful are synthetic fixed-rate debt instruments in your opinion? Why would anybody want to construct such instruments? What are their advantages and disadvantages?

Compute the vapor pressure of a solution : Calculate the vapor pressure of a solution of 20 g of benzene (C6H6) and 20 g of toluene (C7H8) at 90 oC. Is the boiling point of this mixture higher or lower than 90 oC at an atmospheric

Determine the growth law : A bacterial colony intially has 340 individuals. after 12 hours there are 1000 individuals.

Find the amount of work in foot-pounds required : A trough is 4 feet long and 1 foot high. The vertical cross-section of the trough parallel to an end is shaped like the graph of from to . The trough is full of water. Find the amount of work in foot-pounds required to empty the trough by pumping ..

How fast is the radius of the semicircle increasing : An Isosceles triangle is inscribed in a semicircle, as shown in the diagram, and it continues to be inscribed as the semicircle changes size. The area of the semicircle is increasing at the rate of 1 cm^2/sec when the radius of the semicircle is 3..

Determine the dimensions of the box : If the material for the base costs $0.30 per square foot, the material for the sides costs $0.05 per square foot, and the material for the top costs $0.20 per square foot, determine the dimensions of the box that can be constructed at minimum cost..

Define a hot-air dryer is used to reduce the moisture : A hot-air dryer is used to reduce the moisture content of 1500 kg/min of wet wood pulp from 0.75 kg H20/hg dry pulp to 0.15 wt% H20. Air is drawn from the atmosphere at 28 deg. C, 760 mmHg, and 50% relative humidity, sent through a blower-heater, ..

Has the liquidity of the company improved : What effect would the actions have on a firm's current ratio and explain what it means for a fi rm to have a current ratio equal to .50. Would the fi rm be better off if the current ratio were 1.50? What if it were 15.0?

How to produce a buffer at ph : How many mL of 12.0 M HCl should be added to 500 mL of 0.100 M Na2SO3 (Kb2 = 8.13 x 10-13 and Kb1 =1.5 x 10-7) to produce a buffer at pH of 7.00?

User Account

All Pages