Rolly has a equilateral triangular frame of wire having area of cross-section 64 3cm³. She wanted to change this trame into circular frame. She wanted to know then what will be the radius of circular frame.
(A) 83/11 cm
(B) 84/11cm
(C) 85/11 cm
(D) 86/11 cm
Answers
Radius of circular frame is 84/11 cm if an equilateral triangular frame of wire having area of cross-section 64√3cm² converted into circular frame.
Given :
Rolly has a equilateral triangular frame of wire having area of cross-section 64 √3cm².
She wanted to change this Frame into circular frame.
To Find : The radius of circular frame.
(A) 83/11 cm
(B) 84/11cm
(C) 85/11 cm
(D) 86/11 cm
Solution:
Area of an equilateral triangle =(√3 / 4) (side)²
(√3 / 4) (side)² = 64√3
=>side² = 64 * 4
=> side = 8 * 2
=> side = 16 cm
Perimeter = 3 * 16 = 48 cm
Perimeter of circular frame = Circumference of the circle = 2π (radius)
Equate Perimeter
=> 2π (radius) = 48
=> π (radius) = 24
Using π = 22/7
=> ( 22 /7) * (radius) = 24
=> (11/7) * (radius) = 12
=> radius = 84/11 cm
the radius of circular frame is 84/11 cm
Correct option is B) 84/11 cm
Radius of circular frame is 84/11 cm if an equilateral triangular frame of wire having area of cross-section 64√3cm² converted into circular frame.
Learn More:
Ratio of area of 2 similar triangles are 2:3. Area of the larger triangle is
brainly.in/question/7877543
if triangle abc- triangle def area of triangle abc is 64 square ...
brainly.in/question/14594418
Three triangles are marked out of a bigger triangle at the three ...
brainly.in/question/8018381
Answer:
B is the correct
Step-by-step explanation: