Shining a torch perpendicular on a paper makes a circular spot. If you tilt the paper, the circle is converted to an ellipse and the area of the spot increases. How much does the area increase if we tilt the paper by 23 degrees?

Shining a torch perpendicular on a paper makes a circular spot. If you

1.	Shining a torch perpendicular on a paper makes a circular spot. If you tilt the paper, the circle is converted to an ellipse and the area of the spot increases. How much does the area increase if we tilt the paper by 23 degrees?
Answer» Shining a torch perpendicular on a paper makes a circular spot. If you tilt the paper, the circle is converted to an ellipse and the area of the spot increases. To find : How much does the area increase if we tilt the paper by 23 degrees? Solution:LET say Circle radius is r and CENTER is origin x² + y² = r²Area of circle = πr²Paper is tilted at 23° from x axis in z direction Y axis remain UNCHANGED z axis coordinate will be x tan23°hence ellipse area would beDistance of rtan23° from center = √r² + (rtan23°)²= √r²(1 + tan²23°)= √r²sec²23°)= rsec23°Area of ellipse = πab= πrrsec23= πr²sec23°% increase in area = 100 * ( πr²sec23° - πr²)/πr²= 100 ( Sec23° - 1)= 100 (0.08636)= 8.636%8.636% area increasedLearn more:Find the equation for the ellipse that SATISFIES the given conditions ...brainly.in/question/17176084Area of the GREATEST rectangle inscribed in the ellipse - Brainly.inbrainly.in/question/14037484

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Shining a torch perpendicular on a paper makes a circular spot. If you tilt the paper, the circle is converted to an ellipse and the area of the spot increases. How much does the area increase if we tilt the paper by 23 degrees? ​

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Shining a torch perpendicular on a paper makes a circular spot. If you tilt the paper, the circle is converted to an ellipse and the area of the spot increases. How much does the area increase if we tilt the paper by 23 degrees?