In the diagram below, PA is tangent to the circle at A and PBC is a secant. If mAB = 80 and mBČ = 100, what is mLAPB ? 3. P A 80° B 100°

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A: Given : 2 Circles intersecting at points A and B. Left hand side circle L has radius =4 cm Right…

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A: Radius is 1/7 feet

Q: Solve for the missing information, given the AB is a tangent line to circle C. B 10 cm 45° CB =

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A:

Q: In the circle on the sketch below, O is the centre and the angle ABC is equal to 56°. B What is the…

A: Here we have to find the angle at which a tangent to the circle at A makes with the chord AC.

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A:

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A:

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A: Equation of a circle with radius r and center (h,k) is  (x-h)^2 + (y-k)^2  = r^2

Q: In the accompanying diagram, PA is tangent to circle O at A, secant PBC is drawn, PB = 4, and BC =…

A:

Q: Find sin0, where 0 is the angle shown. Give an exact value, not a decimal approximation. 25

A: Given trianglewe find sinθ.

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Q: Find the area of the part of the circle r = 8 sin 0 + cos 0 in the fourth quadrant . Answer :

A:

Q: AC and AD are tangents to the bigger circle and intersect at A, a point on the smaller circle. C FO…

A: We have to find m BE⏜

Q: 3 In the diagram below, PS is a tangent to circle O at point S, PQR is a secant, PS = x, PQ = 3, and…

A:

Q: In the diagram below, PR is tangent to circles O and S. Answer the following. If OP = 7, SQ = 3.5,…

A: AAA triangular similarity: Triangles are similar if the measure of all three interior angles in one…

Q: Find sin0, where 0 is the angle shown. Give an exact value, not a decimal approximation 13

A: Given right angle triangleWe find sin θ .

Q: In the accompanying diagram, secant AB intersects circle O at D, secant AC intersects circle O at E,…

A: (3) Find AD if AE=4 , AC=24 , AB=16 (4) Find EC if AC=12 , BC=3 , DC=9

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A: In the given figure the segments AB and AC are tangent to the circle. We have to find the AC

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A:

Q: 5. Use the arc length formula to determine the circumference of the circle defined by the equation…

A: To find the circumference of circle

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A: Draw a perpendicular line PO. Join OT. To find OT=radius. Given PN = PJ + JN= 8+4=12, ON=4 ,PT=12

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A: We know the Pythagoras theorem  Hypotenuse2 = Base2 + Altitude2 Here ,  Hypotenuse = 25 Base = 7…

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A: The given diagram is

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A: Given circle  r=2sinθ+cosθ

Q: F De

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A: The solution are next step..

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Q: Solve for the missing information, given the AB is a tangent line to circle C. 2. 6 cm 8 cm FA =

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Q: In the figure below, CF and CD are tangent to the circle centered at O. The segment FD passes…

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Q: 13. in the figure, PA and PB are tangents to the circle at A and B respectively. OP and AB intersect…

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A: Concept: Trigonometric ratios: sinθ=PH cosθ=BHtanθ=PB Where P is the perpendicular, B is the base…

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A:

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Q: In the figure below, AB is tangent to circle O a point A, secant BD intersects circle O at points C…

A: Given: mAC⏜=70° and mCD⏜=110° m∠ABC=?

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.