Answer:
We can use the formula for the area of a sector of a circle:
A = (θ/360) x πr^2
where A is the area of the sector, θ is the central angle of the sector in degrees, and r is the radius of the circle.
In this case, we know that the central angle of the sector is 70° and the area of the circle is 169π square inches. We can use the area of the circle to find the radius:
A = πr^2
169π = πr^2
r^2 = 169
r = 13
Now we can use the formula for the area of the sector:
A = (θ/360) x πr^2
A = (70/360) x π(13)^2
A = (7/36) x 169π
A = 29.5π square inches
Therefore, the area of the sector is approximately 29.5π square inches.