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Area of shadow part of five-star math problem in sixth grade of primary school
1. Solution: As shown in the figure below, the shaded part can be divided into three parts, and then the areas can be calculated separately:

As can be seen from the figure, the area of area 1 = 2 times of area 2; Area of area 2 = small square minus the area of a quarter circle; Area of area 3 = area of right triangle minus area of isosceles triangle minus area of sector.

2. Solution process:

Step 1: Calculate the sum of the areas of s 1 and s2:

In the second step, the nature of the central angle and the central angle is b = 2a, and it is known at the same time.

Available? ,

Understand? ,

In the third step, the distance from the left end of Zone 3 to the central horizontal line is 4.

Therefore, the area of area 3 is:

The fourth step, to sum up, the area of the shadow part is: