Question
The side of an equilateral triangle is 28 cm. Taking
each vertex as the centre, a circle is described with a radius equal to half the length of the side of the triangle. Find the area of that part of the triangle which is not included in the circles (use π = 22/7 and √3 = 1.73).Solution
Given: Side of equilateral triangle = 28 cm
Radius of each circle = 14 cm (half of 28 cm)
π = 22/7, √3 = 1.73 Area of triangle = (√3 / 4) × a²
= (1.73 / 4) × 28² = 1.73 × 196 = 339.08 cm² Area of one sector = (60/360) × π × r²
= (1/6) × (22/7) × 14² = (1/6) × (22/7) × 196 ≈ 102.67 cm²
Total area of 3 sectors = 3 × 102.67 = 308.01 cm² Required area = 339.08 − 308.01 = 31.07 cm²
In 12 years, the ratio of the ages of 'Arjuna' and 'Bheem' will be 8:7. Currently, the average of the ages of 'Arjuna' and 'Charu...
The vice-captain of a cricket team of 11 members is 24 years old and the opener is 5 years older. If the ages of these two are excluded, the aver...
A man is 6 times as old as his daughter. After 4 years, he will be 4 times as old as she will be. After how many more years will the man be 3 times as o...
- Three years ago, the ratio of ages of 'S' and 'T' was 7:8. Seven years from today, their ages will be in the ratio 9:10. What is the present age of 'R', wh...
Ratio between the age of Varsha, 8 years ago from now and age of Nidhi, 6 years hence from now, will be 9:16, respectively.
Age of Priya, 3 years...- Six years ago, the ratio of the ages of Amit and Sumit was 5:6 respectively. Ten years hence, their age ratio will be 7:8. What is the current age of Sumit...
The present ages of Priya’s father and mother are in the ratio R:S. If the father’s age increases by 4 years and the mother’s age decreases by 4 y...
The ratio of present age of A to that of B is 6:5 and the ratio of present age of A to that of C is 6:8. The average present age of A, B and C is 19 yea...
The present ages of A and B are in the ratio 4:5. Sixteen years from now, B's age will be 15% more than A's age at that time. If C's current age is thre...
The ratio of the ages of Pari and Qureshi is 5:9. If the ratio of the age of Pari after 3 years and the age of Qureshi after 9 years is 1:2, then find t...
Relevant for Exams:
