Knowee
Questions
Features
Study Tools

If the circumference of a circle is doubled, how does the area of the circle change?ResponsesA The area is doubled.The area is doubled.B The area is tripled.The area is tripled.C The area is quadrupled.The area is quadrupled.D The area does not change.

Question

If the circumference of a circle is doubled, how does the area of the circle change?ResponsesA The area is doubled.The area is doubled.B The area is tripled.The area is tripled.C The area is quadrupled.The area is quadrupled.D The area does not change.

🧐 Not the exact question you are looking for?Go ask a question

Solution

The area of the circle is quadrupled. This is because the formula for the area of a circle is πr², where r is the radius of the circle. If the circumference (which is 2πr) is doubled, then the radius is also doubled. Substituting this into the area formula gives us an area that is four times larger than the original. So, the correct answer is C: The area is quadrupled.

Similar Questions

6 of 556 of 55 Items01:00:51 Skip to resourcesQuestionCalculate the area of a circle with a radius of 2 cm and a circle with a radius of 4 cm. Leave your answers in terms of pi.When the radius doubles, does the area of the circle double?ResponsesA 4π cm2; 8π cm2; NO4π cm 2 ; 8π cm 2 ; NOB 4π cm2; 16π cm2; NO4π cm 2 ; 16π cm 2 ; NOC 4π cm2; 16π cm2; YES4π cm 2 ; 16π cm 2 ; YESD 4π cm2; 8π cm2; YES4π cm 2 ; 8π cm 2 ; YESE 8π cm2; 16π cm2; YES

Q.3. If the circumference of a circle and the perimeter of a square are equal, then(a) Area of the circle = Area of the square(b) Area of the circle > Area of the square(c) Area of the circle < Area of the square(d) Nothing definite can be said about the relation between the  areas of the circle and square.

When the radius of a sphere is doubled, what is the resulting change in volume?ResponsesA The original volume is doubled.The original volume is doubled.B The original volume is multiplied by 4.The original volume is multiplied by 4.C The original volume is multiplied by 8.The original volume is multiplied by 8.D The original volume is multiplied by 10.

15.The area of a circle, A = πr2changes as its radius changes. If the radius changeswith respect to time, the change in area with respect to time is:a) constantb) dAdt= 2πrdrdtc) dAdr= 2πrd) dAdt= 2πr +drdte) impossible to find

An object travels in a circular path of radius r at a constant speed v. What happens to the object’s acceleration if the radius of the circle is doubled and the speed stays unchanged? A. It doubles B. It quadruples C. It is cut to a half

1/2

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.