5272道题目5525 条题源记录 · 相同内容已合并
周长・面积与平面图形进阶
A circle has a circumference of 48π centimeters. What is the diameter in centimeters, of the circle?
原库参考解析
周长・面积与平面图形挑战
A total of 3 squares each have side length r. A total of 6 equilateral triangles each have side length t. None of these squares and triangles shares a side. The sum of the perimeters of all these squares and triangles is 60. Which equation represents this situation?
原库参考解析
周长・面积与平面图形挑战
In the given figure, \( NP \) is the diameter of semicircle O. Angles Q, R, and S are right angles, and point P is the midpoint of \( NQ \) . If PQ = 52 feet and NS = 18 feet, the area of the figure can be expressed as \( aπ+b \) square feet, where a and b are integers. What is the value of \( a−b \) ?
原库参考解析
周长・面积与平面图形进阶
The area of a triangle is equal to \( x^2 \) square centimeters. The length of the base of the triangle is \( 2x+12.5 \) centimeters, and the height of the triangle is \( x−5 \)centimeters. What is the value of x?
原库参考解析
周长・面积与平面图形挑战
If the perimeter of an equilateral triangle with a height of 46 units is \( a\sqrt{3} \) units, what is the value of a?
原库参考解析
周长・面积与平面图形进阶
A circle has a radius of 2.9 inches. The area of the circle is bπ square inches, where b is a constant. What is the value of b?
原库参考解析
周长・面积与平面图形挑战
The area of a rectangle is 108 square inches. The length of the longest side of the rectangle is 18 inches. What is the length, in inches, of the shortest side of this rectangle ?
原库参考解析
周长・面积与平面图形进阶
The area of triangle ABC is 230 square centimeters. What is the height h, in centimeters, of this triangle?
原库参考解析
周长・面积与平面图形挑战
In the figure shown,\( AB=\sqrt{61} \)units,\( AC=6 \) units, and \( CE=18 \) units. What is the area, in square units, of triangle \( ADE \)?
原库参考解析
周长・面积与平面图形进阶
A rectangular region of land is divided into 88 square lots of equal area R, in square units. The length of the region is 5.5 times the width of the region. If the width of the region is \( x\sqrt{R} \) units, what is the value of x?
原库参考解析
周长・面积与平面图形进阶
The area of a triangle is 270 square centimeters. The length of the base of the triangle is 12 centimeters greater than the height of the triangle. What is the height, in centimeters, of the triangle?
原库参考解析
周长・面积与平面图形挑战
A circle has a circumference of 42π centimeters. What is the diameter, in centimeters, of the circle?
原库参考解析
