# geometry

posted by .

in circle O, perpendicular chords AB and CD intersect at E so that AE=2, eb=12 and CE=4. find the radius of a circle O and the shortest distance from e to the circle

• geometry -

The two chords intersect to form 2 similar triangles, in this case 2 similar right-angled triangles
so we can easily find that ED = 24

by Pythagoras:
AC = √20
and BD = 6√20

Does that give you a start ?

## Similar Questions

1. ### Geometry

The question is to find the measure of arc PQ in Circle A. The point A is the center of the circle, and the chords PR and SQ intersect at the center. Arc PQ is (3y-10), while arc SR is (2y+20). I know there's a theorem that states …
2. ### circle

two parallel chords of length 30 cm and 16 cm are draw on the opposite sides of center of a circle of radius 17 cm find the distance between the chord
3. ### circle

two parallel chords of length 30 cm and 16 cm are draw on the opposite sides of center of a circle of radius 17 cm find the distance between the chord answer
4. ### solid mensuration

Two perpendicular chords divide a circle with a radius of 13 cm into 4 parts. If the perpendicular distances of both chords are 5 cm each from the center of the circle, find the area of the smallest part. Please include solution. Thanks.
5. ### Circle Geometry - chords in a circle

Let PQ, RS , and TU be parallel chords of a circle. The distance between chords PQ and RS is 4, and the distance between chords RS and TU is also 4. If PQ = 78 TU=50 , then find RS. how to do this?
6. ### important maths ques

AB and CD are two parallel chords of a circle such that length of AB and CD are 10 cm and 24cm respectively.if the chords are opposite sides of the centre and the distance between them is 17 cm ,find the radius of the circle.
7. ### 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?
8. ### Math

Two parallel chords of length 20cm and 11cm lie on opposite sides of a circle. The distance between the two chords is 15cm. Calculate, correct to the nearest whole number the radius of the circle
9. ### math

PQ and RS are 2 parallel chords of a circle such that PQ = 8 cm & RS = 6 cm. If the chords are on the opposite sides of the centre and distance between them is 4 cm. find the radius of the circle
10. ### Maths

Radius of a circle,13cm. Length of the chords is 10cm find the distance of the chord from the center of a circle

More Similar Questions