Circles and Ellipses Applications

• Jadin

• Emily

• Madison

• Dominic

Tags

CCSS.HSG.GPE.A.1

Olivia, standing at one focus of a whispering gallery, is 6 feet from the nearest wall.  Her friend is standing at the other focus, 100 feet away.  What is the length of the whispering gallery?

• 56 feet long

• 50 feet long

• 112 feet long

• 636 feet long

Olivia, standing at one focus of a whispering gallery, is 6 feet from the nearest wall.  Her friend is standing at the other focus, 100 feet away.  How high is it’s elliptical ceiling at the center?

• 636 feet high

• 50.4 feet high

• 2,544 feet high

• 25.2 feet high

A communications satellite has been placed in an elliptical orbit around Earth. The satellite’s orbital path is directly above the equator. One focus is at Earth’s center, and each focus is 410 km from the center of the ellipse. The length of the major axis is 13,960 km. How does the satellite's orbit compare to a circular orbit?

• The orbit is close to circular because the foci are close together.

• The orbit is much flatter because the foci are far apart.

• The orbit is close to circular because the foci are far apart.

• The orbit is much flatter because the foci are close together.

• 4

• 9

• 6

• 3

Tags

CCSS.HSG.GPE.A.1

What are the foci of the shifted ellipse?

• (-5,1) and (-1,1)

• (±√3,0)

• (0,1) and (-6,1)

• (√3 - 3,1) and (-√3 - 3,1)

Tags

CCSS.HSG.GPE.A.1

What are the co-vertices of the ellipse?

• (-5,3)

• (-5,0) and (-5,6)

• (3,-5)

• (-10, 3) and (0,3)

Tags

CCSS.HSG.GPE.A.1

Find the equation of the figure shown.

• (x-5)² + (y-3)² = 25

• (x+5)²/4 + (y+3)²/9 = 1

• (x-5)²/2 + (y-3)²/3 = 1

• (x-5)²/4 + (y-3)²/9 = 1

Tags

CCSS.HSG.GPE.A.1

Find the standard equation of the given ellipse

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Tags

CCSS.HSG.GPE.A.1

Find the standard equation of the given ellipse

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Tags

CCSS.HSG.GPE.A.1