1. **State the problem:** We are given a circle with a central angle of 70° and the length of the minor arc corresponding to this angle is 7.94 inches. We need to find the circumference of the entire circle. 2. **Formula used:** The length of an arc $L$ is related to the circumference $C$ and the central angle $\theta$ (in degrees) by the formula: $$L = \frac{\theta}{360} \times C$$ 3. **Apply the formula:** Substitute $L = 7.94$ inches and $\theta = 70^\circ$: $$7.94 = \frac{70}{360} \times C$$ 4. **Solve for $C$:** Multiply both sides by $\frac{360}{70}$: $$C = 7.94 \times \frac{360}{70}$$ 5. **Simplify the fraction:** $$\frac{360}{70} = \frac{\cancel{360}}{\cancel{70}} = \frac{36}{7}$$ 6. **Calculate circumference:** $$C = 7.94 \times \frac{36}{7} = \frac{7.94 \times 36}{7}$$ 7. **Perform multiplication and division:** $$7.94 \times 36 = 285.84$$ $$C = \frac{285.84}{7} = 40.8342857...$$ 8. **Round to the nearest hundredth:** $$C \approx 40.83$$ inches **Final answer:** The circumference of the circle is approximately **40.83 inches**.