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Basic Formulas
Areas of polygons
Interior and exterior angles of polygons!
AREAS IN CIRCLES!
Arc Lengths And Sectors
100
The formula for the area of a polygon
What is 1/2aP
100
The formula to find the central angle in a regular polygon.
(360/n) /2
100
Formula for finding the measure of the sum of interior angles
What is (n-2)180?
100
1) Area of a circle
1) pi*radius*squared
100
1) Area of a sector formula 2)Arc length formula
What is 1)(measure of the arc/360)(pi*r squared) 2)(Measure of the are/360)(pi*d)
200
The central angle is equal to... HINT: What THING on a circle?
The measure of the arc
200
A pentagon has a side length of 8 inches and an apothem of 5.506 inches. What is the area of the pentagon to the nearest hundredeth?
What is 110.12 inches squared.
200
Measure of 1 interior angle formula
(n-2)180/n
200
A Circle has a radius of 22.3 inches. What is its area?
What is 1562.28 inches squared.
200
The Measure of an arc is 60 degress, the diameter of the circle is 10 inches. Find the arc length in terms of pi.
What is 5/3pi or 1.6pi
300
Formula for an inscribed circle.
What is 1/2x
300
A pentagon has a side length of four inches, and a central angle of 36 degrees, what is it's area to the nearest hundredth?
55.06 inches EXPLANATION: Use trig. to find the side length of the apothem. The apothem being ''a'' and the base of the triangle being 2in. Plug in your #'s to the formula be sure to divide by 2!
300
What is the sum of the interior angles of a hexagon? Sum of exterior?
720 & 360
300
The area of a circle is 231.04 pi, find it's radius.
What is 15.2
300
The diamter of a circle is 16 meters, the measure of the arc is 55 degrees. Find the area of the sector in terms of pi.
What is 88/9 pi, or 9.7 pi
400
How to find an angle if it is outside the circle
What is 1/2(x-y)
400
An octagon has a side length of 6 inches what is the length of the apothem and area of the octagon to the nearest hundredths.
Apothem = 7.24 Area = 173.76inches squared
400
1 exterior angle of a pentagon
108
400
The circumfrence of a circle is 24pi, what is the area of the circle?
What is 144 pi, or 452.39
400
The diameter of a circle is 14 inches. find the area of the sector if the measure of the arc is 270 degrees.
What is 115.45 inches squared.
500
How to find an angle if it is inside the circle, but not the central angle.
What is 1/2(x+y)
500
The area of a 9 sided regular polygon is 303.076, what is it's side length? HINT: remember all the formulas and use trig!
7 inches
500
A regular polygon's interior angles sums up to 1980. Find the measure of 1 interior angle. HINT: find how many sides the polygon has first.
What is 152.3
500
A Circular cake's circumfrenece approx. 47 centameters, Gertrude takes 3/4 of the cake, how much area of the cake is left?
What is Approx 325.3 Centameters squared?
500
The arc length of a circle is 22/9 pi, the measure of the arc is 110 degrees. find the radius of the circle
What is 4 units?