Answer:
33.51 cm
Step-by-step explanation:
240/360 = 2/3 (Arc length is 2/3 of the total circumference)
C = 2r ( Calculate the total circumference)
C = 2(8)
C = 50.265
2/3(50.265) (Take 2/3 of the circumference. times 2 divide by 3)
33.51
Use a calculator and leave the answer to C and then multiply and divide. You get a more precise answer.
Answer:
B, D
Step-by-step explanation:
Answer: b
Step-by-step explanation:
You know the formula of a triangle is: (base*height)/2
So: 4*8=32
32/2=16cm^2
Since its a parallelogram, you could say that there are two of these triangles, so: 16*2=32cm^2
Now we're left with the part in the middle. The sides are now 8 by 8 because we took away 4 from 12, so: 8*8= 64cm^2
Now you just add all your values together, so: 32+64=96cm^2
The perimeter is the sum of the three sides.
Subtract the length of the hypotenuse for the sum of the 2 sides:
60 - 26 = 34 cm
The Pythagorean theorem is a^2 + b^2 = c^2
Where a and b are the sides and c is the hypotenuse.
So we know a^2 + b^2 = 26^2
26^2 = 676
We also know a^2 +b^2 = 34 cm
Now a^2 +(34-a)^2 = 676
Factor:
a^2 + a^2-68a+1156 = 676
2a^2 -34a +480 = 0
Divide by 2:
a^2 - 17a +240 = 0
Factor:
a(a-10) - 24(a-10) = 0
a =10
b = 34 - 10 = 24
The sides are 10 cm and 24 cm