Answer:
These methods convert everything to radians
Step-by-step explanation:
Length of arc DC fromula is radius*angle in radians
Radius of the circle of DC is 8 cm aka the outer circle.
The angle inside is 130 degrees, in radians convert and multiply by 180/[tex]\pi[/tex]
givong 130 degrees to be 13/18π
using formula, arc DC is 8*13/18π
=52/9π (in terms of pi) or 18.15 cm
or 130/360*(2π8)=18.15 (not using radians)
Length of arc QT regards the inner circle of radius 4 cm. Convert 130 degrees to radians. Using same formula as above, length of arc =4*13/18π
=26/9π or 9.08 cm
or 130/360*(2π4)=9.08 (not using radians)
Area of sector DEC suspended angle is 130 degrees of 13/18π radians. regarding large outer circle radius 8 cm.
Use formula 0.5*r^2*angle in radians fro area of sector gives:
0.5*8^2*13/18π
=208/9π or 72.61 cm^2
or 130/360*(π8^2)=72.61 (not using radians)
The area of sector QET angle 13/18πv rad and radius 4 cm using same forumla as above gives
0.5*13/18π*4^2
=52/9π or 18.15cm^2
or 130/360*(π4^2)=18.15 (not using radians)
Radian measure of angle DEC is 130 degrees again convert to radians by multiplying by π/180 gives
=13/18π
Radian measure of angle QET IS ALSO 130 degrees also
=13/18π
