**Given information:**
- Radius of the circle, r = 20 cm
- Angle subtended by the chord at the center, θ = 90°

**To find:**
- Area of the corresponding major segment of the circle

**Explanation:**

1. The major segment of a circle is the region enclosed between a chord and the arc formed by the chord.
2. To find the area of the major segment, we need to find the area of the sector formed by the chord and subtract the area of the triangle formed by the chord.
3. Let's calculate step by step:

**Step 1: Find the length of the chord**
- In a circle, the length of a chord can be found using the formula:
`Length of chord = 2 * radius * sin(θ/2)`
- Here, radius, r = 20 cm and θ = 90°
- Substituting the values, we get:
`Length of chord = 2 * 20 cm * sin(90°/2) = 2 * 20 cm * sin(45°)`

**Step 2: Find the area of the sector**
- The formula to find the area of a sector is:
`Area of sector = (θ/360°) * π * r^2`
- Here, radius, r = 20 cm and θ = 90°
- Substituting the values, we get:
`Area of sector = (90°/360°) * π * (20 cm)^2`

**Step 3: Find the area of the triangle**
- The formula to find the area of a triangle is:
`Area of triangle = (1/2) * base * height`
- In this case, the base of the triangle is the length of the chord calculated in Step 1, and the height is the radius of the circle.
- Substituting the values, we get:
`Area of triangle = (1/2) * (2 * 20 cm * sin(45°)) * 20 cm`

**Step 4: Calculate the area of the major segment**
- The area of the major segment is the difference between the area of the sector (Step 2) and the area of the triangle (Step 3).

**Final Answer:**
- Calculate the values obtained in Step 2 and Step 3 and subtract the area of the triangle from the area of the sector to find the area of the major segment of the circle.