Question

So to convert
90° to radians, we multiply by______
.

Answer 1

To convert 90° to radians, multiply by π/180 to get π/2 radians. This conversion uses the relationship that 1 revolution equals 2π radians or 360°.

Step-by-step explanation:

To convert 90° to radians, you will multiply by π/180, because there are π radians in 180°. The conversion factor is derived from the relationship that 1 revolution is equal to 2π radians, which is the same as 360°. To convert 90° to radians, multiply by π/180 to get π/2 radians. This conversion uses the relationship that 1 revolution equals 2π radians or 360°.

Therefore, when we convert degrees to radians, we use the ratio of π to 180°. Here's the calculation for 90°:

1. Multiply the degree measurement, 90°, by the conversion factor (π/180).
2. 90° * (π/180) = π/2 radians.

So, to convert 90° to radians, we multiply by π/180 or 0.5π to get π/2 radians.

To convert 90° to radians, we multiply by π/180. Since there are 180° in a half circle, multiplying by π/180 converts degrees to radians. Therefore, 90° multiplied by π/180 is equal to π/2 radians.