An inscribed angle is the angle formed in the interior of a circle when two secant lines intersect on the circle. The measure of an inscribed angle is half the measure for a intercepted arc. The formula is  Angle= ½(arc). You could also use arc=angle(2) to find the arc of a circle on a inscribed circle. For example, If i have arc of 90 degrees but a missing angle i can use the formula angle=½(arc). So we do angle=½(90), that gives us 45, so 45 is our missing arc. Another example is if you have a angle of 40 but no arc. First you use the formula arc=angle2, which is arc=40*2. so the arc is 80.

this is a photo that includes a arc and angle

An arc is a portion of the circumference of a circle. It is named by its endpoints, There can always be three arcs. There is a major arc which is one that is more than 180 degrees,  A semicircle which is an arc exactly 180 degrees, And finally, a minor arc which is one less than 180 degrees. A way to find the circles arc is to find the measure of a full circle which is 360. If you divide the arc by 360 then you get the fraction of the circumference that the arc makes up. Then multiply that length all the way around the circle by that fraction then you get the length of the arc.

A chord is a straight line that touches both sides of the circle. If you know the radius then you can draw a line connecting the two making a right triangle.  From then on do the Pythagorean theorem.

Here is a picture that includes an arc and a chord

Central angles are subtended by an arc between those two points. They are the same as the arc length. The circumference is the distance around the circle. The formula is C = 2πr, the r represents the radius of the circle. Another way to find the circumference is to find the sum of all the given values in the circle and then multiply it by pi.  The diameter is a straight line that passes through the center, The formula is c=πd. Another way to find the diameter is to double the radius if it is known.

I had a great winter break, we went to Indiana and Florida. In Indiana I saw my grandma and my god brother for the first time in five years. That was during the first week of Christmas break. For Christmas I got a steering wheel for my game and a gaming headset. Then we went to Florida for New year’s. When we got there it was a little chilly but not too bad. Right before New year’s hit we snuck into a club along the beach to see the ball drop. The only reason we were able to was because no was standing at the front. I went ziplinning earlier that night and it was terrifying because I’m scared of heights. After new we went back home and just hung out at our house for the rest of break

1. X=64.537
2. X=10.954
3. X=5.895
4. theta=46.05
5. c=26.11
6. A=79.968
7. B=41.032

1. Law of cosines relates the lengths of the sides of a triangle to the cosine of one of its angles.

2.you can write the Law of Cosines for each angle around the triangle.

3. Law of Cosines works with only one angle and three sides in each formula.

4. Law of Cosines works with only one angle and three sides at a time.

5. when you are given all three sides of a triangle and asked to find an unknown angle is called SSS

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You are to write about 5 things you are thankful for.

I am thankful for my family. They have always been there for me when no one else ever was. Especially my cousin named Anthony, he was always like an uncle or father figure to me. I am thankful for cars, I love cars. My favorite car is a 1969 dodge charger. I am thankful for food, i was so excited to eat some cabbage, sweet potato pie, and ham

 

You are to write 5 sentences about Inverse Trig Ratios.

1. The idea is the same in trigonometry. Inverse trig functions do the opposite of the regular trig functions.
2. Use the inverse trigonometric ratios to find an angle in a right triangle.
3. Inverse Tangent, If you know the opposite side and adjacent side of an angle in a right triangle
4. When you find the inverse of a trigonometric function, you put the word arc in front of it.
5.  To solve a right triangle, you would need to find all sides and angles in a right triangle, using any method.