Question

13,14,15 ARE THE SIDES OF TRIANGLE. THERE ARE 20 EQUAL CIRCLES WITHIN IT, THEN FIND THE RADIUS OF CIRCLE.

Answer 1

Answer:

R=1.15units

Step-by-step explanation:

Area of triangle = root(s(s-a)(s-b)(s-c))

s = a + b + c / 2 = 13 + 14 + 15 / 2 = 42 / 2 = 21

Area = root (21(21-13)(21-14)(21-15))

Area = root (21*8*7*6) = root(3*3*7*7*2*2*2*2)

Area = 84

One Circle Area = Pie (R square)

20 Circle Area = 20 * Pie (R square)

20 Circle Area = Area Of Rectangle

20*Pie(R^2) = 84

20 *(R^2) = 84*7/22

20*(R^2) = 26.72

R^2 = 26.72/20

R = Root(1.336)

R = 1.15units