The blue arc measures 240°. Measurement by arc length : Formula: s = rθ s = arc length r = radius of the circle θ = measure of the central angle in radians. Red arc: r = 2 and θ = 2π/3, so s = 4π/3. Blue arc: r = 2 and θ = 4π/3, so s = 8π/3

Dec 25, 2014 · Example 6: The area of a sector is and the radius of the circle is 12. What is the central angle? Solution: Plug in what you know to the sector area formula and then solve for the central angle, we will call it . Example 7: The area of a sector of circle is and its arc length is . Find the radius of the circle.

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Unit 5 Review Key; Unit 4 Exam Study Guide - Congruent Triangles. 4.4 partial proofs (Try these without the reference at least a couple of times so that you can get used to doing this work without it!) 4.5 full proofs; Unit 2 Exam study guide; Unit 3 Study Guide - Angle Relationships Look through these and be familiar with them before class on 10/8

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Jul 24, 2018 · One radian is the angle created by bending the radius length around the arc of a circle. Because a radian is based on an actual part of the circle rather than an arbitrary division, it is a much more natural unit of angle measure for upper level mathematics and will be especially useful when you move on to study calculus.

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Circles: Angle Relationships Find the measure of the arc or angle indicated. 1) V W X D 58 °? 2) X Y Z? 178 ° 3) J K L? 108 ° 4) W X Y 135 ° 37 °? Solve for x. 5) R S T 17 x − 2 116 ° 6) M L K Q 3x + 23 9x − 6 140 Find the measure of the arc or angle indicated. 7) Find mYZ X Y Z K 10 x + 8 12 x − 2 8) Find mLM K L M −2 + 8x 10 x ...

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In the figure, nzL2 = 75. Find the measures of the remaining angles. 12 43 56 9 10 4 12 Il 56 13 14 16 15 ml-I = ml—3 = mL5 = mL6 — mL7 = 105 105 75 105 105 75 Zl and L 2 form a linear pair. £3 and £2 form a linear pair. £4 and L 2 are vertical angles. £5 and £3 are alternate interior angles. £6 and 22 are corresponding angles. Feb 07, 2018 · Arc Length 2Ttr 360 Area of a Sector Ttr20 360 o Circumference of a Circle Area of a Circ e A = Ttr2 Practice Problems Find the circumference and area for each circle below. Find the circumference and area for each circ e be ow. Leave answers in terms of TT. 9 cm C % Q-TTq = 3.14 and round to the nearest hundredth. Use TT 22 't 5 cm LT3.B 6.