Question

Total formula of circle chapter.

Answer 1

r = ½d

radius formula

d = 2r

diameter formula

C = πd

circumference formula

m∠1 + m∠2 + m∠3 = 360

sum of central angles formula

A/360 = l/2πr

arc length formula

360°− the measure of the minor arc with the same endpoints

measure of major arc

m∠1 = ½x

measure of inscribed angle

opposite angles are supplementary (sum equals 180°)

angles in a quadrilateral inscribed in a circle

m∠1 = ½ (x+y)

measure of angle inside a circle

m∠1 = ½ (x-y)

measure of angle outside a circle

product of lengths of each chord are congruent

2 chords intersect

whole x outside = whole x outside

2 secants intersect outside a circle

if the 2 tangent segments are from the same exterior point, then they are congruent

2 tangent segments

whole × outside = tangent²

tangent and secant intersect outside a circle

Answer 2

hy

here is your answer
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➡r = ½d

radius formula
-----------------------
➡d = 2r

diameter formula
-----------------------
➡C = πd

circumference formula
-------------------------------
➡m∠1 + m∠2 + m∠3 = 360

sum of central angles formula
---------------------------------------
➡A/360 = l/2πr

arc length formula
-------------------------
➡360°− the measure of the minor arc with the same endpoints

measure of major arc
---------------------------
➡m∠1 = ½x

measure of inscribed angle
-----------------------------------
➡opposite angles are supplementary (sum equals 180°)

angles in a quadrilateral inscribed in a circle
-------------------------------
➡m∠1 = ½ (x+y)

measure of angle inside a circle
------------------------------
➡m∠1 = ½ (x-y)

measure of angle outside a circle
-------------------------------
➡ lengths of each chord are congruent

2 chords intersect
-------------------------
➡whole x outside = whole x outside

2 secants intersect outside a circle
---------------------------
➡if the 2 tangent segments are from the same exterior point, then they are congruent
----------------------------
2 tangent segments
------------------------------
➡whole × outside = tangent²

tangent and secant intersect outside a circle

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