Answer:
8.49
Step-by-step explanation:
there is a little formula related to the famous formula of Pythagoras.
it says that the height of a triangle is the square root of the product of both segments of the baseline (the segments the height splits the baseline into).
so, x is actuality the height of the triangle.
x = sqrt(3×24) = sqrt(72) = 8.49
Given:
Measure of arc FJ = 84°
Measure of arc GH = 76°
To find:
The measure of angle HKJ.
Solution:
The image of the question is attached below.
Angles inside the circle theorem:
If two chords intersect inside a circle, then the measure of each angle is one half the sum of the measures of the intercepted arc and its vertical arc.
Sum of the adjacent angles in a straight line is 180°.
⇒ m∠GKH + m∠HKJ = 180°
⇒ 80° + m∠HKJ = 180°
Subtract 80° from both sides.
⇒ 80° + m∠HKJ - 80° = 180° - 80°
⇒ m∠HKJ = 100°
The measure of ∠HKJ is 100°.
If we draw in OX, OY, OZ we have two congruent right triangles, right angles at the tangent points.
We know XOZ is 132 degrees, which is the meaning of the arc measure
So YOX is half that, 66 degrees.
That leaves 180 - 90 - 66 = 24 degrees for OYX
Angle Y aka XYZ is double that, 48 degrees.
Answer: C
Answer/Step-by-step Explanation:
True. Expressions cm be expressed using the above listed
Hello,
If the arc expressed in radian is α,
Area=αr² /2
see http://www.lememento.fr/aire-surface-secteur-circulaire
