Math

posted by Prince

1. Find the area of a segment of height 22.1 inches in a circle of radius 6.42 ft. Draw a rough sketch of a circle showing the height and radius. Consider significant digits.

  1. Reiny

    the perpendicalar to the chord will be 22.1 inches
    and it will meet the chord at its midpoint
    So you have a rightangled triangle with the radius as the hypotenuse 6.42 ft or 77.04 inches
    and shorter sides 22.1 and x
    Use Pythagoras to find the radius

    x^2 + 22.1^2 = 77.04^2

    -use basic trig to find the central angle of the sector
    -use a ration to find the area of the sector
    -find the area of the triangle formed by the chord and the centre of the circle, you know the angle

    Area of whole circle = 70.04^2 π

    subtract the area of the triangle from the area of the sector to find the area of the segment.

Respond to this Question

First Name

Your Answer

Similar Questions

  1. Math

    I need to find the area of a shaded part. it is a square with a circle the measurements that I have are pi = 3.14 and 15 ft by 15 ft. I know to find the area of the square I take base x height but cannot figure out correct formula …
  2. trigonometry

    please check my answers. 1.Find the area of the sector of a circle. r=11.8cm, theta-pi/7 radians I got 31.2cmsquared 2.Find the radius of a circle in which a central angle of pi/6radian determines a sector of area 76square meters. …
  3. math

    Two Rhombuses of the equal length and width of 10 inches each and height of 7 inches are drawn inside a quarter-circle of radius 18 inches as shown in the figure below. (a) find the perimeter of each of the Rhombuses. (b) Find the …
  4. Algebra

    The area of a circle is given by the formula A+pier^2, where r is the radius. If increasing the radius of a circle by 1 inch gives the resulting circle an area of 100pie square inches, what is the radius of the original circle?
  5. Geometry

    A dartboard consists of five concentric circles. The radius of the smallest circle is about 1 inch. The radius of the second circle is about 3 inches longer. The radius of the third circle is about 1 inch longer than the previous circle. …
  6. geometry

    In the diagram, circle A is tangent to circle C, and segment BE is tangent to circle A. The radius of circle A is 11 meters and the radius of circle C is 8 meters. Find the area of triangle ABE to the nearest square meter.
  7. Java programming

    List all overloading methods (including constructors) in this coding.. public class Circle { private double radius; private String colour; public Circle() { radius = 0; colour = ""; } public Circle (double r) { radius = r; } double …
  8. Maths

    1. In the xy-coordinate plane, point A is the midpoint of the segment with endpoints (2,4) and (-4,-4). What is the distance from point A to the origin?
  9. math

    The area of a circle is given by the formula A = ðr2, where r is the radius. If increasing the radius of a circle by 1 inch gives the resulting circle an area of 100ð square inches, what is the radius of the original circle?
  10. Geometry

    Segment AD is perpendicular to the radius of circle (B) and the radius of circle (c). If radius BA=6in, segment AD=21in and radius CD=16in, find the length of BC to the nearest tenth of an inch.

More Similar Questions