Construct a regular pentagon in a circle of radius 2 units.

Q: Six congruent circles are arranged in a circle in a way that each circle is tangent to at least two…

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Q: In circle P with mZNRQ = 23, find the mZNPQ. %3D

A: Inscribed angle theorem can be used for measuring 2 related angles. Among these 2 angles, one must…

Q: Find the length of a chord that is 8 cm from the center of a circle that has a radius length of 17…

A: To find the length of a chord that is 8 cm from the center of a circle that has a radius length of…

Q: Suppose that a circle is to contain the three vertices of a triangle. Relative to the triangle,…

A: Option A

Q: From point P, PA and PB are drawn tangent to circle O at points A and B.If the radius of the circle…

A: the figure drawn from the given information is

Q: Find the area of the largest isosceles triangle that can be inscribed in a circle of radius r=14

A: We will find required as shown below

Q: What is the measure in degrees of the central angle of a circle of radius 15 cm which subtends an…

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Q: 3. Find the angle of the largest right circular cone which can be inscribed in a sphere of radius 9…

A: Given, R=9inch volume of cone is (V) V=13πr2h from pythagoras theoram relation between r and R is…

Q: Construct a torus by drawing a tube (radius 1) around a horizontal circle with a radius of 5.

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Q: In circle P with mZNRQ = 37, find the mZNPQ. %3D R

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Q: Find the area of the sector of a circle with radius 12 meters formed by a central angle of 10…

A: It is given that circle has radius 12 meters formed by a central angle of 10 .That is, r=12,θ=10.…

Q: What is the area of a triangle of a regular hexagon inscribed in a circle of radius 16?

A: The figure is shown below:

Q: .) A regular pentagon has a radius of 8 ft area?

A: The radius of a regular pentagon r= 8 ft.

Q: Two small circles tangent to each other are inscribed in a rectangle. A bigger circle is…

A: Given, Area of the shaded region = 10 inches2 Let, The diameter of the smaller circles = d The…

Q: Find the smallest possible area of an isosceles triangle thatis circumscribed about a circle of…

A: To Find: The Smallest Possible area of an isosceles triangle that is circumscribed about a circle of…

Q: . A six-sided regular polygon is inscribed in a circle of radius 10 cm, find the length of one side…

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Q: Define the term 'construction of circle'?

A: Circle:  The circle is the set of points that are at equal distance from a given point. Construction…

Q: Find the length s of the arc that subtends a central angle of measure 40degree in a circle of radius…

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Q: What is a 3d Circle called

A: A 3D (three-dimensional) shapes are solid shapes that have three dimensions including length, depth…

Q: A_______ __________ is a positive angle whose vertex is at thecenter of a circle

A: It is given that, A_______ __________ is a positive angle whose vertex is at thecenter of a circle.

Q: What is the distance of a plane from the center of a sphere, if the radius of the sphere is 10 cm…

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Q: Sketch the torus that results when the given circle of radius length 1 unit is revolved about the…

A: Given: Radius of the circle is 1 unit. Distance between horizontal and center is 4 units. A torus…

Q: Suppose that a circle is divided by points A, B, C, and D into four congruent arcs. What is the…

A: Let r be the radius of the circle. Since the arcs formed by the points A, B, C and D are congruent,…

Q: Find the largest trapezoid that can be inscribed in a circle with a radius of 5 cm so that its base…

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Q: Find the largest conical tent that can be constructed having a given slant height.

A: # we are entitled to solve one question at a time, please resubmit the other question if you wish to…

Q: presents a circle with radius (c) 6

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Q: The orthocenter is outside of triangles, inside of acute triangles, and located at the right angle…

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Q: Suppose that a circle is divided into three congruent arcs by points A, B, and C. What is the…

A: Since, we have been given that a circle is divided into three congruentarcs by points A, B and C.…

Q: If an equilateral triangle is circumscribed about a circle of radius 20 cm, determine the side of…

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Q: A rectangular octagon with sides of length 6 is inscribed in a circle. Find the area of the octagon.

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Q: segments joining the center of circular faces is

A: Given that  In a right circular cylinder, the line segments joining the center of circular faces is…

Q: What is the area of the largest rectangle that can be inscribed in a semi-circle of radius 8 units?

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Q: A circle is inscribed in a polygon if each side of the polygon is tangent to the circle. true or…

A: If all the vertices of a polygon are on the circumference of a circle, the polygon is inscribed in a…

Q: what is the area of circle having a chord with lenght 1.40 cm and 0.60 cm from its center

A: SOLUTION-

Q: Find the perimeter of a regular octagon inscribed in a circle of radius 150 cm.

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Q: A semi-circle of radius 14 cm is formed from a piece of wire. If it is bent into a rectangle whose…

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Q: An isosceles triangle with legs of 9 cm and a base of 10 cm in length has a median drawn from its…

A: We know that in isosceles triangle median through vertex on base is perpendicular to base, and it…

Q: Find the dimensions of the isosceles triangle of largest areathat can be inscribed in a circle of…

A: here first we make a circle of radius r and inside this make an isosceles triangle. This is shown in…

Q: Construct the three perpendicular bisectors of sides and then the circumscribed circle for obtuse…

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Q: Find the length of a chord that is 3 cm from the center of a circle withradius 7 cm.

A: Radius of the circle is 7 cm and the chord is at a distance of 3 cm from the center of the circle.…

Q: How can we determine this unit circle by filling them?

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Q: Find the area of the largest isosceles triangle inscribed in a semicircle of radius 10 feet, the…

A: Topic:- application of derivatives

Q: Show that one arch of a cycloid generated by a circle of radius R has length 8R.

A: Arc generated by a circle of radius R can be parameterised as, x=R(t-sint), y= R(1-cost)

Q: Show that one slice of an 18-inch pizza is larger than two slices of a 12-inch pizza if cut in eight…

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Q: Can a circle with radius 2 be "squared"?

A: Solution:

Q: Calculate the radius of a circle in which a chord of length 10cm is 12cm from the centre.

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Q: Find the area of the largest trapezoid that can be inscribed in a circle of radius 1 and whose base…

A: The given circle has radius 1 and a trapezoid is inscribed inside the circle on the diameter of the…

Q: What is the length of an arc of a circle with radius 4 cm that subtends a central angle 216°?

A: Given : The radius circle(r) = 4 cm.   central angle(θ) = 216°  Length of an arc of a circle ,…

Q: Determine the dimensions of the largest rectangle that could be inscribed in a semi-circle of radius…

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Q: A 6-sided regular polygon (hexagon) is inscribed in a circle of radius 10 cm, find the length of one…

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