# 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.

1. 👍
2. 👎
3. 👁
1. I must assume that A and B are the centres of your two circles for this to make sense.
Join AE, and you will have a right angles triangle AEB
with AE=11, AB = 19 , and BE = x
x^2 + 11^2 = 19^2
x^2 = 240
x = √240

so the area = (1/2) base x height
= (1/2)(√240)(11)
= 22√15 or appr 85.2

1. 👍
2. 👎

## Similar Questions

1. ### Geometry - help please

AB is tangent to circle O at B. The diagram is not drawn to scale. If AB = 6 and AO = 11.7, what is the length of the radius (r)? Round the answer to the nearest tenth. 5.7 8.9 10.0 13.1

2. ### Math

Check my answers please? There are only 10 The figure below shows a triangle with vertices A and B on a circle and vertex C outside it. Side AC is tangent to the circle. Side BC is a secant intersecting the circle at point X: The

3. ### Math

In the diagram, AE¯¯¯¯¯¯¯¯ is tangent to the circle at point A, and secant DE¯¯¯¯¯¯¯¯ intersects the circle at points C and D. The lines intersect outside the circle at point E. A circle with no center shown.

4. ### GEOMETRY INSCRIBED ANGLES MULTIPLE CHOICE QUESTION

Find the value of x. If necessary, round your answer to the nearest tenth. The figure is not drawn to scale. {THe figure is a circle with a tangent crossing through the top section of the circle. The value of the tangent is 12.

1. ### Geometry

A secant and a tangent to a circle intersect in a 42 degree angle. The two arcs of the circle intercepted by the secant and tangent have measures in a 7:3 ratio. Find the measure of the third arc. If someone could help me figure

Which of these is a step in constructing an inscribed square using technology? Construct segment DB, segment CE, segment EG, segment GI, and segment ID. Draw segments BR, RS, and SB Identify the points of intersection between

3. ### GEOMETRY INSCRIBED ANGLES MULTIPLE CHOICE QUESTION

segment BC is tangent to circle A at B and to circle D at C. (Not drawn to scale) AB=10 BC=25 and DC=3. Find AD to the nearest tenth. Hint: Draw an auxiliary line from D to segment BA. {There are two circles, the larger one has

4. ### Math

The point P = (4, 3) lies on the circle x2 + y2 = 25. Find an equation for the line that is tangent to the circle at P. This line meets the x-axis at a point Q. Find an equation for the other line through Q that is tangent to the

1. ### Geometry

Points $A$ and $B$ are on a circle centered at $O$, and point $P$ is outside the circle such that $\overline{PA}$ and $\overline{PB}$ are tangent to the circle. If $\angle OPA = 32^{\circ}$, then what is the measure of minor arc

2. ### Math

A tangent is a line that touches a circle at exactly one point. For what values of k will the line y= x+k be tangent to the circle x^2+ y^2 = 25? I know I'm suppose to use the properties of a discrimminate. But how

3. ### math

A circle of radius 2 is externally tangent to a circle of radius 8. Compute the length of their common tangent.

m