0
Suppose that the radius of a circle is increasing at the rate of 10mms-1 what is the rate of change of the area of the circle when r 3mm?
Wiki User
∙ 15y ago
A = pi * r2 Take implicit derivative with regard to time for 'rate' type questions: dA/dt = 2 * pi * r * dr/dt dA/dt = 2 * pi * (3 mm) * (10 mm/s) = 60 pi mm2/s
Wiki User
∙ 15y ago
Add your answer:
Earn +20 pts
Is a circle graph a function?
No, a circle graph is never a function.
What is the formula of finding the area of a circle?
Pi * R squared, where R is the radius of the circle in question
How is the Pythagorean theorem used to develop the equation of a circle in standard form?
The Pythagorean theorem is used to develop the equation of the circle. This is because a triangle can be drawn with the radius and any other adjacent line in the circle.
What is the difference between the unit circle and imaginary unit circle?
A unit circle is in the coordinate plane where both axes are measured in real numbers. The imaginary circle is in the complex plane in which one axis (horizontal) measures the real component of a complex number and the other axis measures the imaginary component.
A stone is dropped into a lake creating a circular ripple that travels outward at a speed of 50 cm per second. What is the rate at which the area within the circle is increasing after 2 seconds?
We have to use implicit differentiation, because we are figuring how it is changing with respect to time, not just the radius. So recall that the area of a circle is given by the formula A = â•¥r2. So....dA/dt = (â•¥)(2r) dr/dtWe need to calculate dA/dtAfter 2s, r = 50(2) = 100dA/dt = â•¥(2)(100)(50)= 10,000â•¥ cm2/s
The parachute slows the rocket down by increasing aerodynamic circle?
its not circle its drag
How do you change the size of a circle?
change the length of the radius
Would you rather live nearer the tropic of Capricorn or the arctic circle what suppose to be capitalized?
Proper nouns. "Would you rather live nearer the Tropic of Capricorn or the Arctic Circle?"
What is the correction factor in gear?
Co efficient increasing/degreasing the contact circle is the correction factor in gear.
A father swings his child around in a circle The source of the centripetal force that keeps the child moving in a circle is?
The tension in the man's arms. Ultimately originating, I suppose, in the muscles in his back and legs.
What is a 3d semi circle called?
A circle is by definition a 2-dimensional object. It doesn't exist in the third dimension so I suppose you could call a 3d circle an impossibility?It's a hemisphere.
Is it possible for a chord of a circle to be the same length as the radius of the same circle?
yes i thinkso because the chord only suppose to have a point in the cente and a radius is like an oval it have 2 end point
How can you change the radius of the circle to increase the area?
To increase the area of a circle you must increase the radius.
Whats the difference between a circle change up and a regular change up in baseball?
When gripping a circle change up the tips of your index finger and thumb touch on the side of the ball in what looks like a circle. Click on the 'Change Up' link on this page to see the differences between the two pitches.
What is the area of a circle with a radius of 6 cantimeters?
i suppose it should be 6 centimeters. The area of a circle is pi*r2 with pi = 3.1415.... thus A = 3.1415*(6)2 = 113.097 cm2 = 0.011309 m2
What are the opposite angles of a quadrilateral inscribed in a circle?
A quadrilateral is inscribed in a circle it means all the vertices of quadrilateral are touching the circle. therefore it is a cyclic quadrilateral and sum of the opposite angles in cyclic quadrilateral is supplementary. suppose if one angle is A then another will be 180 degree - angle A.
How does the shape change with increasing eccentricity?
An ellipse whose eccentricity is zero is a circle. As its eccentricity increases, it becomes more and more elliptical, i.e. its foci move farther apart and it appears more "egg-shaped".
