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  • A triangle has corners at (7 ,3 ), (5 ,8 ), and (4 ,6 ). What is the . . .
    Area of triangle's circumscribed circle is 25 16 If the sides of a triangle are a, b and c, then the area of the triangle Delta is given by the formula Delta=sqrt(s(s-a)(s-b)(s-c)), where s=1 2(a+b+c) and radius of circumscribed circle is (abc) (4Delta) Hence let us find the sides of triangle formed by (7,3), (5,8) and (4,6) This will be surely distance between pair of points, which is a=sqrt
  • A triangle has corners at (9 ,7 ), (2 ,5 ), and (5 ,4 ). What is the . . .
    color(blue)("Area"=(6625pi) 338" units"^2 In order to find the area of the circumscribed circle, we need to find the radius of this circle It can be shown that: r=(abc) (4("area of" Delta ABC)) Where a, b, c are the sides of Delta ABC We can prove this with the following: From diagram: Draw a line from B to D through centre O Notice that this is the diameter of the circle, and is twice the
  • A solid consists of a cone on top of a cylinder with a . . . - Socratic
    V_T=pir^2 (h_1 3+h_2) We need to calculate r in order to calculate the area of the base of the cylinder, hence we fill in the data given 150pi=pir^2 (39 3+17) We cancel the like term (pi) on each side 150cancelpi=cancelpir^2 (39 3+17) 150=r^2 (13+17) 150=r^2xx30 Divide both sides by 30 150 30=r^2 5=r^2 The formula of area of the base of a
  • A triangle has corners at # (3 , 2 )#, # (6 ,7 )#, and # (2 . . . - Socratic
    A triangle has corners at # (3 , 2 )#, # (6 ,7 )#, and # (2 ,4 )# What is the radius of the triangle's inscribed circle? GeometryCirclesArea of Inscribed Triangle
  • Site Map - Distance Formula Questions and Videos | Socratic
    Questions What is the Distance Formula? How can the distance formula be derived from the pythagorean theorem? How can the distance formula be used in real life? How do you find the distance when given two coordinate points? How do you find the distance between (7, 7) and (–7, 7)?
  • The base of a triangular pyramid is a triangle with corners at (3 ,8 . . .
    #Using distance formula let’s find the sides of the base triangle
  • Answers created by Alan N. - Socratic
    How do you write a formula for an, the n th term for the given sequence: 3, 5, 7, 9, …? If tan theta=2 3,find theta? Will the sum of two linear expressions, each with an x-term, always, sometimes, or never have an x-term? Why? Find the equation of the lines tangent to the circle at point where x=3 x²+y²-14x+4y+33=0?
  • Question #08cc1 - Socratic
    See a solution process below: The formula for the circumference of a circle is: C = 2pir Where: C is the circumference of the circle r is the radius of the circle However, we also know; 2r = d Where: r is the radius of the circle d is the diameter of the circle We can rewrite the equation for the circumference of a circle as: C = 2pir = 2rpi = pid Substituting for C and solving for d gives
  • Question #223a7 - Socratic
    Equation of the circle = x^2 + y^2 = 50 Equation of circle with origin as center is x^2 + y^2 = a^2 where ais the radius of the circle To find the radius we have to calculate the distance from center to a point on the circumference radjus r = sqrt( (0-(-7))^2 + (0-(-1))^2) = sqrt50 Hence equation of the circle is x^2 + y^2 = 50 Verification by finding the distance from center to the other
  • Aakash on Socratic
    Aakash gets smarter on Socratic Aakash joined Socratic 6 810958904109589 years ago Aakash hasn't written a biography yet





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