A circle is drawn with radius R, where µR = 10 and σ²R = 1. The area of the circle is A = πR². Find µA.

Q: In circle K with the measure of arc JL= 36°, find mZJKL. L J K

A: Given that a circle K and arc JL = 36° we find m(angle) of JKL.   Here i attached the solution of…

Q: Given circle Z with tangents XW and XY, what is measure of arc WVY

A: We need to find measure of the arc WVY. We shall use the relation between Circles and angle between…

Q: 3. Find the area of the shaded region of the semicircle. Show all work leading to your answer. 10 in…

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Q: Given the data below, compute for the AUC 0 >∞ using the trapezoidal rule: (kel = 0.0138/hr) %3D

A: The area under the curve can be evaluated using the Trapezoidal rule. The expression for the…

Q: Find the length of the entire perimeter of the region inside r = 18 sin but outside r = 3.

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Q: Find the arc length of p = 21, 0 = In t, =, 1si5. V5 4V5 2V5 3/5

A: There are two ways to spherical polar coordinates, first confirm the notation uses... Although i…

Q: A shaded rectangie measuring with 3 unshaded circies is shown. The side lengths of ti rectangle and…

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Q: A sector of a circle of radius 14 mi has an area of 98mi? then the central anof the circle is (a)…

A: The area of a sector is given by the formula πr2θ360° where r is the radius of the circle and θ.

Q: 5. In the dingram below of circle A, diameter MP =26, MLGAI= 30°, MG TP, and drawn. Find the ares of…

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Q: On a fitting for a hex wrench, the A distance from the center O to a vertex is 5 mm. The length of…

A: Consider the given figure, Join the vertex D with center O and consider the △ODF, The m∠ODF=60° so,…

Q: Given of sphere of radius 16 in. Find the area of the zone of the sphere whose latitude shpere is 12…

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Q: Calculate the SA/V ratio for a sphere with a radius of 1.

A: Given:

Q: The common area between the cardioid r = 1+ cose and the circle r = 3cose is: Select one: (1+ cose)?…

A: For cardioid  θ=0,   r=1+1=2 θ=π2,    r=1+0=1

Q: 15. Trapezoid PORS is shown below with altitude QT drawn to side SR as shown and PS 1 SR. It is…

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Q: Consider the slice of the unit circle in Quadrants 2 and 3, bounded by the radii you drew in part…

A: Given that: Radius of pizza, r=9 in

Q: Find the measure of the given arc. тJML M K N 60°

A: Solution

Q: If the area enclosed by the curve a = 7 cos t and y = 7 sin t (where t e R) is A, then what is A?…

A: If the area enclosed by the curve x=7cos^3t and y=7sin^3t (where t∈R) is Aπ8, then what is A?

Q: In circle R with .ZQRS = 56 and QR = 13 units find area of sector QRS. Round %3D %3D to the nearest…

A: Area of the sector :

Q: f AB is a diameter of C(O,r) and if P≠A,B is a third point on C(O,r) then ∠APB=90∘.

A: Given  AB is a diameter of CO,r and if P≠A,B is a third point on CO,r

Q: The “strophoid” is given by r=2cos(theta)-sec(theta) for -pi/2 < theta < pi/2 Find the exact value…

A: r(θ) = 2cosθ - secθ   when θ∈-π2,π2

Q: Find the area of the specified region. Shared by the circles r = 3 and r= 6 sin e

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Q: Consider the unit circle x² + y² =1 and the point P(1,0). Find the average distance from P to a…

A: The  average distance betwwen point and circle is zero  it shows that the point lies on the circle…

Q: Find the area of a sector of a circle having radius r and central angle 0. r= 11.4 cm, 0=70° The…

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Q: If the area of APQR is A, give the expressions that complete the equation for the measure of ZR. R…

A: We will use formula for area of triangle.

Q: Given a sphere of radius 16 in. Find the area of the zone of the sphere whose altitude is 10 in.

A: The radius of the sphere is 16 inches. The length of the altitude is 10 inches.

Q: A small circle is tangent internally to a big circle such that AB=CD=5 cm and EF=9 cm as shown.…

A: Solution is given below:

Q: 29. Area = %3D EF, FH, and HI are tangents. EI is a diameter. E 2ft.F J 8ft. H

A:

Q: Given a circle with diameter DE, find 2 points X and Y on the circle such that F is the orthocenter…

A: To find 2 points X and Y on the circle such that F is the orthocenter of △XDY.

Q: Two similar trapezoids have areas of 180 cm2 and 45 cm2. What is their ratio of similarity? O A. 1:2…

A: Solve for ratio

Q: 4. Given AB is tangent to OP, AB = 12 and CB = 8. %3D a) Find the area of APAB. b) Find mLAPB (round…

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Q: While evaluating the approximate value of 20 x² dx, using Trapezoidal rule, taking 3 h = 0.5, the…

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Q: 5. Consider the following measures shown in the diagram with the circle centered at point A.…

A: The length of an arc that subtends an angle of θ at the center is given by the expression l=rθ.…

Q: If the area inside both the cardioid r = 6+ 6 sin 0 and the circle r = 6 is A+ B¨, then what is A+…

A:

Q: Find the area of circle A given tangent CD = 4 and FD = 2. а. 36n b. 16л 12л C. d. е.

A: Given: CD is tangent to the given circle. CD = 4 DF = 2

Q: y = sin x 2

A:

Q: 19. Given XY = 2 cm, BC= 3 cm and area of XYCB = 10 cm², find the area of AAXY. %3D

A:

Q: Find the length of the radius r of a right circular cone with l = 12 in. and h = 3r in.

A: The circular cone described in the question is cut through the center and the triangle cut out is…

Q: The radius of a circle is 3 in. Find its area in terms of T.

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Q: Given: O O with diameter LG. Find the measure of the indicated arc. B 1. mDG = 70, mLD = %3D 2. mGS…

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Q: 7. Evaluate sin(x² + y?)dxdy where R is the region inside the circle x² + y? = T.

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Q: 5 From the given diagram, find (a) the length of PR, 24 cm (b) sinZQPR = 7 cm R. wol bas sups a mo n…

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Q: In circle K with the measure of arc JL= 104°, find mZJKL. L K J

A: Answer

Q: Find the area inside the larger loop and outside the smaller loop of the limicon ? = 1 + 2 cos ?.

A:

Q: If the area inside both the cardioid r =4+4sin 0 and the circler = 4 is A B=, then what is A + B? 4…

A: The area inside the cardioid and the circle  are obtained as

Q: 11 Given the Torus x (e.6) = (CR+rcosel coso,(R+rcose)sind.r Sins) Find the Area of this Torus.

A: Here we will find out the required area.

Q: Prove that the surface area of a sphere with radius r is given by S = 4r? using the methods of this…

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Q: 0.5 rad 12

A: Find the the area A of the sector show for both figures.  Whose radii are as 12 and 9 , and angle is…

Q: In the figure, BC is a diameter of the circle. AD and BC are produced to meet at P. If DB = DP and…

A: We need to find ∠ABD.

Q: 3. In circle Z, if VZ = ZW, SV = 21, and mUT = 112", find each measure. a) UT= d) mXT b) WT= e) mST…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…