0
What is the area of a triangle with angles of 50 60 and 70 degres when the radius of its circumcircle is 10cm?
Wiki User
∙ 6y ago
From the given information and transposing the relevant formulae its area works out as 200*sin(50)*sin(60)*sin(70) = 124.6810383 or about 125 square cm
Wiki User
∙ 6y ago
Add your answer:
Earn +20 pts
What is the radius of the circumcircle of a triangle with sides of 4cm by 5cm by 6cm?
Using the cosine rule the biggest angle is: 82.81924422 degrees Using radius formula for circumcircle of a triangle the radius is: 3.023715784 cm
What is the center of a circumscribed cirlce of a triangle called?
It is called the circumcenter of the triangle. . The circumcenter is equidistant from the three vertices, and so the common distance is the radius of a circle that passes through the vertices. Another name for it is the circumcircle
How do you construct the triangle if its sides are not given and the measures of angles are 50 60 and 70 the radius of the circumcircle is 32?
1) Draw a circle of radius 32 2) Draw a radius (meeting the perimeter at A) 3) Based on the radius, construct an angle at the centre of the circle of 100° - draw a second radius (meeting the perimeter at B) 4) Based on the second radius, construct an angle at the centre of the circle of 120° - draw a third radius (meeting the perimeter at C) Note : the angle between the third and first radii measures 140°. 5) Draw chords joining A to B, B to C, and C to A. The triangle ABC has angles measuring 50°, 60° and 70°. NOTE : The process is based on the Theorem that the angle subtended by an arc at the centre of a circle is twice the angle subtended at any point on the circumference.
What is the perimeter of a regular hexagon with radius 12?
The side and the radius of a regular hexagon are congruent therefore 6 times 12 is 72. The reason the radius and side are the same is that the radius bisects the angle and it is 120. 60 degree angles are part of an equilateral triangle.
A radius of a regular triangle is 12 Find the length of one side of the triangle?
A radius of a regular triangle is 12 . find the length of one side of the triangle?
What is the radius of the circumcircle of a triangle with sides of 4cm by 5cm by 6cm?
Using the cosine rule the biggest angle is: 82.81924422 degrees Using radius formula for circumcircle of a triangle the radius is: 3.023715784 cm
What are some characteristic of a equalateral triangle?
These are some characteristics of equilateral triangle:All the sides of an equilateral triangle are equalIn an equilateral triangle each angle is angle is 60 degree.With an equilateral triangle, the radius of the incircle is exactly half the radius of the circumcircle.
What is the center of a circumscribed cirlce of a triangle called?
It is called the circumcenter of the triangle. . The circumcenter is equidistant from the three vertices, and so the common distance is the radius of a circle that passes through the vertices. Another name for it is the circumcircle
Prove that the tangent at a to the circumcircle of triangle abc is parallel to bc where triangle abc is a isosceles triangle?
The circumcircle of a triangle is the circle that passes through the three vertices. Its center is at the circumcenter, which is the point O, at which the perpendicular bisectors of the sides of the triangle are concurrent. Since our triangle ABC is an isosceles triangle, the perpendicular line to the base BC of the triangle passes through the vertex A, so that OA (the part of the bisector perpendicular line to BC) is a radius of the circle O. Since the tangent line at A is perpendicular to the radius OA, and the extension of OA is perpendicular to BC, then the given tangent line must be parallel to BC (because two or more lines are parallel if they are perpendicular to the same line).
How do you construct the triangle if its sides are not given and the measures of angles are 50 60 and 70 the radius of the circumcircle is 32?
1) Draw a circle of radius 32 2) Draw a radius (meeting the perimeter at A) 3) Based on the radius, construct an angle at the centre of the circle of 100° - draw a second radius (meeting the perimeter at B) 4) Based on the second radius, construct an angle at the centre of the circle of 120° - draw a third radius (meeting the perimeter at C) Note : the angle between the third and first radii measures 140°. 5) Draw chords joining A to B, B to C, and C to A. The triangle ABC has angles measuring 50°, 60° and 70°. NOTE : The process is based on the Theorem that the angle subtended by an arc at the centre of a circle is twice the angle subtended at any point on the circumference.
How do you find the diameter of a circle which would touch all three angles of an equalateral triangle?
Double its radius
An equilateral triangle surrounds a circle of radius 10 cm and is itself surrounded by a larger circle Find the radius of the bigger circle?
Make a sketch of the situation. From a corner of the equilateral triangle draw a radius of the large circle, and from an adjacent side draw a radius of the smaller circle. You should have formed a small right-angled triangle with a known side of 10cm. and known angles of 30o, 60o and 90o. (The interior angles of an equilateral triangle are each 60o.) The hypotenuse is the unknown radius of the larger circle. But since cos 60 = 0.5, it is evident that the hypotenuse is 20cm. long.
What is the perimeter of a regular hexagon with radius 12?
The side and the radius of a regular hexagon are congruent therefore 6 times 12 is 72. The reason the radius and side are the same is that the radius bisects the angle and it is 120. 60 degree angles are part of an equilateral triangle.
What is the area of a regular hexagon with apothem 6?
Draw incircle and circumcircle. radius of incircle = 6 radius of circumcircle = 6 × 2/√3 = 12/√3 (side opposite to 60° is √3/2 times hypotenuse. consider right angled triangle formed by these two radius and 1/2 side of hexagon. (1/2 side)² = (12/√3)² - 6² = 12 1/2 side = √12 full side of hexagon = 2√12, perimeter = 12√12 Area = 1/2 a × perimeter = 1/2 × 6 × 12√12 = 36√12 = 72√3 unit²
A radius of a regular triangle is 12 Find the length of one side of the triangle?
A radius of a regular triangle is 12 . find the length of one side of the triangle?
How do you find the radius of a triangle?
triangles don't have radius'
What is the answer for triangle abc?
There can be no answer.First, there is no information on the triangle. Second, what is the question about: do you want the lengths of sides, the perimeter, the measures of angles, the area, the lengths of medians, altitudes, the radius of the incentre, orthocentre, circumcentre. Or do you just want to know what colour it is?
