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

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

A: We have to find the angle of the largest right circular cone which can be inscribed in a sphere of…

Q: 2. Where is the circumcenter of an obtuse triangle located? on one of the legs on the hypotenuse…

A:

Q: 4. . Find the radius and central angle in radians of the circular sector of maximum area having a…

A: P=2r+r(thetha)

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 sector of a circle of radius 5 meters formed by an angle of 120°.

A: Given information Radius of the circler=5 meters Angle of the sectorθ=120° The formula for the area…

Q: 3. A cone and a cylinder with the same height also share the same base. If the height of each solid…

A:

Q: Two regular pentagons have the areas 147 ft2 and 12 ft2. What is the ratio of their perimeters?

A: Let the area of two pentagon be A1=147 ft2 and A2=12 ft2 To find the ratio of the perimeter.

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

A:

Q: What is the sector area of a sector created by circle with a radius of 5 cm and a 60° central angle.…

A:

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

A: Given, a regular pentagon in a circle of radius 2 units.

Q: Find the radius of the largest conical tent that can be constructed having a slant height of…

A:

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

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

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: Does a rectangle have (a) an incenter? (b) a circumcenter?

A: Given, Does a rectangle have an incenter? The incircle is the circle lies inside the certain…

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

A:

Q: A regular pentagon is inscribed in a circle whose radius is 18cm. Find the perimeter of the…

A: Perimeter = sum of all sides of pentagon

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: What is the length of the the midsegment of a trapezoid with bases of length 16 and 26? The length…

A:

Q: What is the length of the the midsegment of a trapezoid with bases of length 19 and 23? The length…

A:

Q: Sketch a circle Q with a chord RS that is 16 cm long and 2 cm from Q. What is the radius of OQ?

A: Given: Q be a circle with a chor lenth RS that is 16cm…

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

A:

Q: Find the radius of the largest conical tent that can be constructed having a slant height of 10…

A: The slant height of the tent is 10 inches. Assume the height of the cone is h and radius of the cone…

Q: What is the sector area of a sector created by circle with a radius of 2m and a 140 central angle.

A: The solution is given below.

Q: The base of an oblique prism is a trapezoid whose bases measure 5 cm and 8 cm. The height of…

A: The trapezoid based oblique Prism.  JE = 10cm   (center to center distance) 4cm = base height…

Q: What is the surface area of this square pyramid with a base length of 5 meters and a slant height of…

A:

Q: A Norman window consists of a rectangle surmounted by a semicircle. If the perimeter of a Norman…

A: Solution )

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: Find the area of a triangular (in square meters) lot having two side of lengths 10om and 50m and…

A:

Q: 5. A circular piece of cardboard with a diameter of 1 m will be made into a conical hat 40 cm high…

A:

Q: Draw a cone that is circumscribed about a regular pyramid whose base edge is 5 inches less than 3…

A: Introduction: A pyramid and a cone is very significant solid geometrical figure in mathematics. The…

Q: Find the area of the sector formed by central angle u = 2.4 in a circle of radius3 centimeters.

A: Given: central angle u=2.4 and radius =3 cm

Q: A cone with radius 3 in and a height of 7 in.

A:

Q: Find the length of the curved part of a circular sector with a radius of 8 cm and a central angle of…

A: The length of the curved part of a circular sector   S=r·θ ; Where  r  be the radius of the circle…

Q: A right rectangular prism has a height of 12 cm and a base of 8 cm by 10 cm. The prism is cut…

A:

Q: A grain silo consists of a cylindrical main section and a hemispherical roof. If the total volume of…

A:

Q: What is the area of the largest rectangle that can be inscribed in a semi-circle of radius 10 ft.?

A:

Q: Draw a cone that is circumscribed about a regular pyramid whose base edge is 5 inches less than 3…

A: In the above diagram, ABEDC is a regular pyramid with the height AG and base central angle ∠AFG=π4.…

Q: What kind of polygons are used to tessellate the sphere?

A: Kind of polygons used to tessellate the sphere:

Q: What is the length of the the midsegment of a trapezoid with bases of length 17 and 25? The length…

A: We will find the length of midsegment of the given trapezoid in the following step.

Q: a) The edge of a plot of land is in the shape of the arc of a circle having radius 220 feet and…

A: (a) It is given that edge of a plot of land is in the shape of circle with a radius of 220 feet. To…

Q: Find the angle of the largest circular cone which be inscribed in a sphere radius 9 inches.

A: Consider the height of the cone, h inches, and radius r inches. Use the Pythagorean theorem to the…

Q: Draw a cone that is inscribed in a regular pyramid whose altitude is 5 inches less than 3 times a…

A: Concept: The volume of the cone is 13πr2h The surface area of the cone is πr2+πrl Where r is the…

Q: 2. A sphere is inscribed in a right circular cone whose slant height has a length equal to that of…

A: Given:

Q: Find the area of the sector formed by central angle θ = 2.3 in a circle of radius 3 centimeters.

A: Formula; where, θ = central angle in degree r = radius of the circle π = 3.14    we know that 180o…

Q: A cone has a radius of 5 and a height of 11. What is the volune?

A: Volume of cone =13πr2h where r is the radius of cone and h is the height of the cone.

Q: A sphere has radius 2 and a hemisphere ("half" a sphere) has radius 4. Compare their volumes.

A: Volume of sphere=43πr3Volume of hemisphere=23πr3

Q: The section is about polyhedrons and spheres The chapter is on surfaces and solids   Thanks!

A:

Q: What is the curved surface area of the cone (the base is not included) if the radius is 10cm and the…

A: topic - Curved surface area and area of base of cone r= radius of cone h= height of cone s=slant…

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

A: Topic:- application of derivatives

Trigonometric Identities

Trigonometry in mathematics deals with the right-angled triangle’s angles and sides. By trigonometric identities, we mean the identities we use whenever we need to express the various trigonometric functions in terms of an equation.

Inverse Trigonometric Functions

Inverse trigonometric functions are the inverse of normal trigonometric functions. Alternatively denoted as cyclometric or arcus functions, these inverse trigonometric functions exist to counter the basic trigonometric functions, such as sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (cosec). When trigonometric ratios are calculated, the angular values can be calculated with the help of the inverse trigonometric functions.