Shaded Area – Right Triangle Inscribed in a Circle

A right triangle is inscribed in a circle such that its longest side is the diameter of the circle. If the shorter sides of the triangle measure 6cm and 8cm, find the area of the shaded region. Use $\pi = 3.14$

Solution

A triangle inscribed in a circle with its longest side as the diameter of the circle is always a right triangle (by Thales’ Theorem). So, we can find the area $A_T$ of the triangle.

Finding the area of the triangle,

$A_T = \frac{6 \times 8}{2} = 24$Continue reading “Shaded Area – Right Triangle Inscribed in a Circle”

Grade 3 MTAP Reviewer Set 8

Below is the eight set of the MTAP Reviewer for Grade 3.

1.) ¾ is how many eighths?

2.) Write “six thousand fifty six” in numeric form.

3.) How many years are there in 7 ½ decades?

4.) Two numbers are in the ratio 2:3. Their sum is 45. What are the numbers?

5.) Using the digits 2, 5, 8 and 3. Write the largest number greater than 2000 but less than 8000?

6.) Sheila has 250 pesos. She spent 1/5 of it buying notebooks. Then she spent half of the remaining for her meal. How much money did she have left?  Continue reading “Grade 3 MTAP Reviewer Set 8”

Grade 2 MTAP Reviewer Set 8

Below is the eighth set of the MTAP Reviewer for Grade 2.

1.) How many months are there in 3 ½ years?

2.) What is the value of N? 7, 11, 15, 19, N, 27?

3.) What is LXV in Hindu Arabic numerals?

4.) How many much more is 9 × 6 than 12 + 15?

5.) If May 12 is a Monday, what day is May 27?

6.) A store has 120 skateboards. On a Monday, 90 were rented. What fraction was not rented?

7.) A rectangular flower garden has length 12m and width 9m. What is its perimeter? Continue reading “Grade 2 MTAP Reviewer Set 8”

Shaded Region – Circle Inscribed in a Square

A circle with radius 3 cm is inscribed in a square.

Find the area of the shaded region. Let pi = 3.14 and round your answer to the nearest tenths.

Solution

We know that

area of shaded region = area of square – area of circle  Continue reading “Shaded Region – Circle Inscribed in a Square”