Answer:
20.8 cm
Step-by-step explanation:
Given:
Area of sector = 98 cm²
θ = 26°
Required:
Radius (r) of the sector
Solution:
Area of a sector = θ/360 × πr²
Plug in the values
98 = 26/360 × πr²
[tex] 98 = \frac{26*\pi*r^2}{360} [/tex]
[tex] 98*360 = 26*\pi*r^2 [/tex]
[tex] 35,280 = 81.68*r^2 [/tex]
[tex] \frac{35,280}{81.68} = r^2 [/tex]
[tex] 431.929481 = r^2 [/tex]
Take the square root of both sides
20.7829132 = r
r = 20.8 (1 decimal place)
