Answer: A= 460 mm2
Step-by-step explanation:
Hi, since the circumference formula is :
C = 2 π r
Where r is the radius, we can solve the formula for the radius replacing with the value given:
76 =2 π r
76 / (2 π) = r
r = 12.1 mm
Now , we have to apply the formula for the area of a circle.
A = π r^2
A = π (12.1)^2
A= 459.96 mm2= 460 mm2 (rounded to the nearest tenth, since .9 is higher than .5)
Feel free to ask for more if needed or if you did not understand something.
Answer:
m∠CDE = 35°
Step-by-step explanation:
The exterior angle CDE is equal to the sum of the opposite interior angles, BCD and DBC. So, you have ...
6x -13 = (2x+10) +(x +1)
3x -24 = 0 . . . . . . . . . . . . subtract the right side, simplify
x -8 = 0 . . . . . . . . . . . . . . divide by 3
x = 8 . . . . . . . . . . . . . . . . . add 8
6x -13 = 6·8 -13 = 35 . . . . substitute for x in the expression for CDE
The measure of angle CDE is 35°.
